रेखा (y=3x+8) की ढाल और (y)-अवरोध कौन से हैं?
What are the slope and (y)-intercept of the line (y=3x+8)?
#slope
#y_intercept
#identify_both
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A ढाल (3) और (y)-अवरोध (8) / Slope (3) and (y)-intercept (8)
B ढाल (8) और (y)-अवरोध (3) / Slope (8) and (y)-intercept (3)
C ढाल (-3) और (y)-अवरोध (8) / Slope (-3) and (y)-intercept (8)
D ढाल (3) और (y)-अवरोध (-8) / Slope (3) and (y)-intercept (-8)
Explanation opens after your attempt
Correct Answer
A. ढाल (3) और (y)-अवरोध (8) / Slope (3) and (y)-intercept (8)
Step 1
Concept
In (y=mx+c), (m) is slope and (c) is the (y)-intercept. Here (m=3) and (c=8).
Step 2
Why this answer is correct
The correct answer is A. ढाल (3) और (y)-अवरोध (8) / Slope (3) and (y)-intercept (8). In (y=mx+c), (m) is slope and (c) is the (y)-intercept. Here (m=3) and (c=8).
Step 3
Exam Tip
(y=mx+c) में (m) ढाल और (c) (y)-अवरोध होता है। यहां (m=3) और (c=8) है।
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रेखा (y=-5x+12) का (y)-अवरोध बिंदु कौन सा है?
What is the (y)-intercept point of the line (y=-5x+12)?
#y_intercept
#point_on_axis
#linear_graph
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A ( (12,0) )
B ( (0,12) )
C ( (0,-5) )
D ( (-5,12) )
Explanation opens after your attempt
Correct Answer
B. ( (0,12) )
Step 1
Concept
On the (y)-axis (x=0). So (y=12) and the point is ( (0,12) ).
Step 2
Why this answer is correct
The correct answer is B. ( (0,12) ). On the (y)-axis (x=0). So (y=12) and the point is ( (0,12) ).
Step 3
Exam Tip
(y)-अक्ष पर (x=0) होता है। इसलिए (y=12) और बिंदु ( (0,12) ) है।
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समीकरण (2y=6x+10) की ढाल क्या है?
What is the slope of the equation (2y=6x+10)?
#slope
#rearrange_equation
#medium
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A (2)
B (6)
C (3)
D (10)
Explanation opens after your attempt
Step 1
Concept
First divide by (2) to write (y=3x+5). Therefore the slope is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). First divide by (2) to write (y=3x+5). Therefore the slope is (3).
Step 3
Exam Tip
पहले (2) से भाग देकर (y=3x+5) लिखें। इसलिए ढाल (3) है।
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समीकरण (3y=9x-15) का (y)-अवरोध क्या है?
What is the (y)-intercept of the equation (3y=9x-15)?
#y_intercept
#rearrange_equation
#constant_term
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A (9)
B (3)
C (15)
D (-5)
Explanation opens after your attempt
Step 1
Concept
Dividing by (3) gives (y=3x-5). The constant term (-5) is the (y)-intercept.
Step 2
Why this answer is correct
The correct answer is D. (-5). Dividing by (3) gives (y=3x-5). The constant term (-5) is the (y)-intercept.
Step 3
Exam Tip
(3) से भाग देने पर (y=3x-5) मिलता है। स्थिर पद (-5) ही (y)-अवरोध है।
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रेखा (y=4-2x) की ढाल क्या है?
What is the slope of the line (y=4-2x)?
#slope
#rearranged_form
#negative_slope
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A (4)
B (-2)
C (2)
D (-4)
Explanation opens after your attempt
Step 1
Concept
Write it as (y=-2x+4). The coefficient of (x) is (-2).
Step 2
Why this answer is correct
The correct answer is B. (-2). Write it as (y=-2x+4). The coefficient of (x) is (-2).
Step 3
Exam Tip
इसे (y=-2x+4) लिखते हैं। (x) का गुणांक (-2) है।
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रेखा (y=7-3x) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=7-3x)?
#y_intercept
#rearranged_form
#constant_term
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A (7)
B (-3)
C (3)
D (-7)
Explanation opens after your attempt
Step 1
Concept
It can be written as (y=-3x+7). The constant term is (7).
Step 2
Why this answer is correct
The correct answer is A. (7). It can be written as (y=-3x+7). The constant term is (7).
Step 3
Exam Tip
इसे (y=-3x+7) लिखा जा सकता है। स्थिर पद (7) है।
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यदि रेखा की ढाल (6) और (y)-अवरोध (-4) है तो समीकरण कौन सा होगा?
If a line has slope (6) and (y)-intercept (-4), which equation is correct?
#equation_from_slope_intercept
#model_selection
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A (y=-4x+6)
B (y=6x+4)
C (y=6x-4)
D (y=-6x-4)
Explanation opens after your attempt
Correct Answer
C. (y=6x-4)
Step 1
Concept
In (y=mx+c), put (m=6) and (c=-4). So (y=6x-4).
Step 2
Why this answer is correct
The correct answer is C. (y=6x-4). In (y=mx+c), put (m=6) and (c=-4). So (y=6x-4).
Step 3
Exam Tip
रूप (y=mx+c) में (m=6) और (c=-4) रखें। इसलिए (y=6x-4) है।
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यदि रेखा की ढाल (-4) और (y)-अवरोध (9) है तो समीकरण कौन सा होगा?
If a line has slope (-4) and (y)-intercept (9), which equation is correct?
#negative_slope
#equation_from_values
#intercept
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A (y=4x+9)
B (y=9x-4)
C (y=-9x+4)
D (y=-4x+9)
Explanation opens after your attempt
Correct Answer
D. (y=-4x+9)
Step 1
Concept
The slope is the coefficient of (x) and the (y)-intercept is the constant term. So the correct line is (y=-4x+9).
Step 2
Why this answer is correct
The correct answer is D. (y=-4x+9). The slope is the coefficient of (x) and the (y)-intercept is the constant term. So the correct line is (y=-4x+9).
Step 3
Exam Tip
ढाल (x) का गुणांक होती है और (y)-अवरोध स्थिर पद होता है। इसलिए सही रेखा (y=-4x+9) है।
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रेखा (y=5x+c) (y)-अक्ष को ( (0,-3) ) पर काटती है। (c) क्या है?
The line (y=5x+c) cuts the (y)-axis at ( (0,-3) ). What is (c)?
#y_intercept
#parameter
#point_on_axis
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A (5)
B (-3)
C (3)
D (-5)
Explanation opens after your attempt
Step 1
Concept
On the (y)-axis (x=0). Then (y=c), so (c=-3).
Step 2
Why this answer is correct
The correct answer is B. (-3). On the (y)-axis (x=0). Then (y=c), so (c=-3).
Step 3
Exam Tip
(y)-अक्ष पर (x=0) होता है। तब (y=c) होता है इसलिए (c=-3) है।
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रेखा (y=mx+2) की ढाल (-7) है। (m) का मान क्या है?
The line (y=mx+2) has slope (-7). What is the value of (m)?
#slope
#parameter
#linear_form
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A (2)
B (7)
C (-7)
D (-2)
Explanation opens after your attempt
Step 1
Concept
In (y=mx+c), (m) equals the slope. Therefore (m=-7).
Step 2
Why this answer is correct
The correct answer is C. (-7). In (y=mx+c), (m) equals the slope. Therefore (m=-7).
Step 3
Exam Tip
(y=mx+c) में (m) ढाल के बराबर होता है। इसलिए (m=-7) है।
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रेखा (y=2x+5) में (x) के (3) बढ़ने पर (y) कितना बढ़ेगा?
In the line (y=2x+5), how much will (y) increase when (x) increases by (3)?
#slope
#rate_of_change
#total_change
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A (2)
B (5)
C (6)
D (3)
Explanation opens after your attempt
Step 1
Concept
The slope is (2), so the change is \(2\times3=6\). Multiply slope by the change in (x).
Step 2
Why this answer is correct
The correct answer is C. (6). The slope is (2), so the change is \(2\times3=6\). Multiply slope by the change in (x).
Step 3
Exam Tip
ढाल (2) है इसलिए परिवर्तन \(2\times3=6\) होगा। ढाल को (x) के बदलाव से गुणा करें।
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रेखा (y=-3x+14) में (x) के (4) बढ़ने पर (y) में कितना परिवर्तन होगा?
In the line (y=-3x+14), what will be the change in (y) when (x) increases by (4)?
#negative_slope
#rate_of_change
#total_change
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A (12) बढ़ेगा / Increases by (12)
B (14) घटेगा / Decreases by (14)
C (4) घटेगा / Decreases by (4)
D (12) घटेगा / Decreases by (12)
Explanation opens after your attempt
Correct Answer
D. (12) घटेगा / Decreases by (12)
Step 1
Concept
The slope is (-3). An increase of (4) in (x) gives change \(-3\times4=-12\) in (y).
Step 2
Why this answer is correct
The correct answer is D. (12) घटेगा / Decreases by (12). The slope is (-3). An increase of (4) in (x) gives change \(-3\times4=-12\) in (y).
Step 3
Exam Tip
ढाल (-3) है। (x) में (4) की वृद्धि से (y) में \(-3\times4=-12\) का परिवर्तन होगा।
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रेखा (y=6x-9) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=6x-9) cut the (y)-axis?
#y_intercept
#point_on_axis
#graph
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A ( (0,-9) )
B ( (-9,0) )
C ( (0,6) )
D ( (6,-9) )
Explanation opens after your attempt
Correct Answer
A. ( (0,-9) )
Step 1
Concept
On the (y)-axis (x=0). Then (y=-9).
Step 2
Why this answer is correct
The correct answer is A. ( (0,-9) ). On the (y)-axis (x=0). Then (y=-9).
Step 3
Exam Tip
(y)-अक्ष पर (x=0) होता है। तब (y=-9) मिलता है।
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रेखा (y=-2x-11) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=-2x-11) cut the (y)-axis?
#y_intercept
#negative_intercept
#axis_point
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A ( (-11,0) )
B ( (0,-11) )
C ( (0,-2) )
D ( (-2,-11) )
Explanation opens after your attempt
Correct Answer
B. ( (0,-11) )
Step 1
Concept
Putting (x=0) gives (y=-11). Therefore the point is ( (0,-11) ).
Step 2
Why this answer is correct
The correct answer is B. ( (0,-11) ). Putting (x=0) gives (y=-11). Therefore the point is ( (0,-11) ).
Step 3
Exam Tip
(x=0) रखने पर (y=-11) मिलता है। इसलिए बिंदु ( (0,-11) ) है।
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रेखा (4y=8x+12) में ढाल और (y)-अवरोध क्या हैं?
What are the slope and (y)-intercept of the line (4y=8x+12)?
#rearrange_equation
#slope
#y_intercept
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A ढाल (8) और (y)-अवरोध (12) / Slope (8) and (y)-intercept (12)
B ढाल (2) और (y)-अवरोध (3) / Slope (2) and (y)-intercept (3)
C ढाल (4) और (y)-अवरोध (8) / Slope (4) and (y)-intercept (8)
D ढाल (3) और (y)-अवरोध (2) / Slope (3) and (y)-intercept (2)
Explanation opens after your attempt
Correct Answer
B. ढाल (2) और (y)-अवरोध (3) / Slope (2) and (y)-intercept (3)
Step 1
Concept
Dividing by (4) gives (y=2x+3). So the slope is (2) and the (y)-intercept is (3).
Step 2
Why this answer is correct
The correct answer is B. ढाल (2) और (y)-अवरोध (3) / Slope (2) and (y)-intercept (3). Dividing by (4) gives (y=2x+3). So the slope is (2) and the (y)-intercept is (3).
Step 3
Exam Tip
(4) से भाग देने पर (y=2x+3) मिलता है। इसलिए ढाल (2) और (y)-अवरोध (3) है।
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रेखा (5y=-10x+25) में ढाल और (y)-अवरोध क्या हैं?
What are the slope and (y)-intercept of the line (5y=-10x+25)?
#rearrange_equation
#negative_slope
#intercept
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A ढाल (-10) और (y)-अवरोध (25) / Slope (-10) and (y)-intercept (25)
B ढाल (10) और (y)-अवरोध (5) / Slope (10) and (y)-intercept (5)
C ढाल (-2) और (y)-अवरोध (5) / Slope (-2) and (y)-intercept (5)
D ढाल (2) और (y)-अवरोध (-5) / Slope (2) and (y)-intercept (-5)
Explanation opens after your attempt
Correct Answer
C. ढाल (-2) और (y)-अवरोध (5) / Slope (-2) and (y)-intercept (5)
Step 1
Concept
Dividing by (5) gives (y=-2x+5). So the slope is (-2) and the (y)-intercept is (5).
Step 2
Why this answer is correct
The correct answer is C. ढाल (-2) और (y)-अवरोध (5) / Slope (-2) and (y)-intercept (5). Dividing by (5) gives (y=-2x+5). So the slope is (-2) and the (y)-intercept is (5).
Step 3
Exam Tip
(5) से भाग देने पर (y=-2x+5) मिलता है। इसलिए ढाल (-2) और (y)-अवरोध (5) है।
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समीकरण (x+y=6) को (y=mx+c) रूप में लिखने पर ढाल क्या होगी?
When (x+y=6) is written in (y=mx+c) form, what will be the slope?
#standard_to_slope_intercept
#slope
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A (1)
B (6)
C (-1)
D (0)
Explanation opens after your attempt
Step 1
Concept
From (x+y=6), we get (y=-x+6). Therefore the slope is (-1).
Step 2
Why this answer is correct
The correct answer is C. (-1). From (x+y=6), we get (y=-x+6). Therefore the slope is (-1).
Step 3
Exam Tip
(x+y=6) से (y=-x+6) मिलता है। इसलिए ढाल (-1) है।
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समीकरण (2x+y=9) का (y)-अवरोध क्या है?
What is the (y)-intercept of the equation (2x+y=9)?
#standard_form
#y_intercept
#rearrange
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A (2)
B (9)
C (-2)
D (-9)
Explanation opens after your attempt
Step 1
Concept
From (2x+y=9), we get (y=-2x+9). The constant term (9) is the (y)-intercept.
Step 2
Why this answer is correct
The correct answer is B. (9). From (2x+y=9), we get (y=-2x+9). The constant term (9) is the (y)-intercept.
Step 3
Exam Tip
(2x+y=9) से (y=-2x+9) मिलता है। स्थिर पद (9) (y)-अवरोध है।
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समीकरण (3x-y=6) की ढाल क्या है?
What is the slope of the equation (3x-y=6)?
#standard_form
#slope
#rearrange
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A (3)
B (-3)
C (6)
D (-6)
Explanation opens after your attempt
Step 1
Concept
From (3x-y=6), we get (y=3x-6). Therefore the slope is (3).
Step 2
Why this answer is correct
The correct answer is A. (3). From (3x-y=6), we get (y=3x-6). Therefore the slope is (3).
Step 3
Exam Tip
(3x-y=6) से (y=3x-6) मिलता है। इसलिए ढाल (3) है।
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समीकरण (4x-y=-8) का (y)-अवरोध क्या है?
What is the (y)-intercept of the equation (4x-y=-8)?
#standard_form
#y_intercept
#sign_change
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A (4)
B (8)
C (-8)
D (-4)
Explanation opens after your attempt
Step 1
Concept
From (4x-y=-8), we get (y=4x+8). Therefore the (y)-intercept is (8).
Step 2
Why this answer is correct
The correct answer is B. (8). From (4x-y=-8), we get (y=4x+8). Therefore the (y)-intercept is (8).
Step 3
Exam Tip
(4x-y=-8) से (y=4x+8) मिलता है। इसलिए (y)-अवरोध (8) है।
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रेखा \(y=\frac{3}{2}x-4\) में (x) के (2) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{3}{2}x-4\), how much will (y) increase when (x) increases by (2)?
#fraction_slope
#rate_of_change
#total_change
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A (2)
B (3)
C \(\frac{3}{2}\)
D (4)
Explanation opens after your attempt
Step 1
Concept
The slope is \(\frac{3}{2}\). For an increase of (2), the change is \(\frac{3}{2}\times2=3\).
Step 2
Why this answer is correct
The correct answer is B. (3). The slope is \(\frac{3}{2}\). For an increase of (2), the change is \(\frac{3}{2}\times2=3\).
Step 3
Exam Tip
ढाल \(\frac{3}{2}\) है। (2) की वृद्धि पर परिवर्तन \(\frac{3}{2}\times2=3\) है।
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रेखा \(y=-\frac{5}{3}x+7\) में (x) के (3) बढ़ने पर (y) कितना बदलेगा?
In the line \(y=-\frac{5}{3}x+7\), how much will (y) change when (x) increases by (3)?
#fraction_slope
#negative_slope
#total_change
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A (5) बढ़ेगा / Increases by (5)
B (3) घटेगा / Decreases by (3)
C (5) घटेगा / Decreases by (5)
D (7) घटेगा / Decreases by (7)
Explanation opens after your attempt
Correct Answer
C. (5) घटेगा / Decreases by (5)
Step 1
Concept
The slope is \(-\frac{5}{3}\). For an increase of (3), the change is \(-\frac{5}{3}\times3=-5\).
Step 2
Why this answer is correct
The correct answer is C. (5) घटेगा / Decreases by (5). The slope is \(-\frac{5}{3}\). For an increase of (3), the change is \(-\frac{5}{3}\times3=-5\).
Step 3
Exam Tip
ढाल \(-\frac{5}{3}\) है। (3) की वृद्धि पर परिवर्तन \(-\frac{5}{3}\times3=-5\) है।
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यदि (y=mx-1) ( (2,7) ) से गुजरती है तो (m) क्या होगा?
If (y=mx-1) passes through ( (2,7) ), what is (m)?
#find_slope
#point_given
#parameter
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A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
Substituting the point gives (7=2m-1). Thus (2m=8) and (m=4).
Step 2
Why this answer is correct
The correct answer is B. (4). Substituting the point gives (7=2m-1). Thus (2m=8) and (m=4).
Step 3
Exam Tip
बिंदु रखने पर (7=2m-1) मिलता है। इससे (2m=8) और (m=4) है।
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यदि (y=3x+c) ( (4,10) ) से गुजरती है तो (c) क्या होगा?
If (y=3x+c) passes through ( (4,10) ), what is (c)?
#find_intercept
#point_given
#parameter
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A (2)
B (-2)
C (7)
D (12)
Explanation opens after your attempt
Step 1
Concept
Substituting the point gives (10=3(4)+c). Thus (c=-2).
Step 2
Why this answer is correct
The correct answer is B. (-2). Substituting the point gives (10=3(4)+c). Thus (c=-2).
Step 3
Exam Tip
बिंदु रखने पर (10=3(4)+c) मिलता है। इससे (c=-2) है।
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यदि रेखा (y=2x+c) (y)-अक्ष को ( (0,5) ) पर काटती है तो रेखा क्या है?
If the line (y=2x+c) cuts the (y)-axis at ( (0,5) ), what is the line?
#equation_from_intercept
#y_axis
#model
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A (y=2x+5)
B (y=5x+2)
C (y=2x-5)
D (y=-2x+5)
Explanation opens after your attempt
Correct Answer
A. (y=2x+5)
Step 1
Concept
The (y)-value on the (y)-axis is (c). So (c=5) and the line is (y=2x+5).
Step 2
Why this answer is correct
The correct answer is A. (y=2x+5). The (y)-value on the (y)-axis is (c). So (c=5) and the line is (y=2x+5).
Step 3
Exam Tip
(y)-अक्ष पर (y)-मान (c) होता है। इसलिए (c=5) और रेखा (y=2x+5) है।
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यदि रेखा की ढाल (-3) है और वह (y)-अक्ष को ( (0,4) ) पर काटती है तो समीकरण क्या होगा?
If a line has slope (-3) and cuts the (y)-axis at ( (0,4) ), what is its equation?
#equation_from_slope_point
#negative_slope
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A (y=3x+4)
B (y=-3x+4)
C (y=-4x+3)
D (y=4x-3)
Explanation opens after your attempt
Correct Answer
B. (y=-3x+4)
Step 1
Concept
The slope is (-3) and the (y)-intercept is (4). Therefore (y=-3x+4).
Step 2
Why this answer is correct
The correct answer is B. (y=-3x+4). The slope is (-3) and the (y)-intercept is (4). Therefore (y=-3x+4).
Step 3
Exam Tip
ढाल (-3) है और (y)-अवरोध (4) है। इसलिए (y=-3x+4) होगा।
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रेखा (y=4x-6) और (y=4x+9) की ढालों के बारे में सही कथन क्या है?
Which statement about the slopes of (y=4x-6) and (y=4x+9) is correct?
#compare_slopes
#parallel_lines
#coefficient
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A दोनों की ढाल समान (4) है / Both slopes are equal to (4)
B पहली की ढाल (-6) है / The first slope is (-6)
C दूसरी की ढाल (9) है / The second slope is (9)
D दोनों की ढाल (0) है / Both slopes are (0)
Explanation opens after your attempt
Correct Answer
A. दोनों की ढाल समान (4) है / Both slopes are equal to (4)
Step 1
Concept
In both equations the coefficient of (x) is (4). Therefore both slopes are equal.
Step 2
Why this answer is correct
The correct answer is A. दोनों की ढाल समान (4) है / Both slopes are equal to (4). In both equations the coefficient of (x) is (4). Therefore both slopes are equal.
Step 3
Exam Tip
दोनों समीकरणों में (x) का गुणांक (4) है। इसलिए दोनों की ढाल समान है।
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रेखा (y=-2x+5) और (y=3x+5) के (y)-अवरोधों के बारे में सही कथन क्या है?
Which statement about the (y)-intercepts of (y=-2x+5) and (y=3x+5) is correct?
#compare_intercepts
#constant_term
#linear_graph
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A पहला (y)-अवरोध (-2) है / First (y)-intercept is (-2)
B दोनों के (y)-अवरोध समान (5) हैं / Both (y)-intercepts are equal to (5)
C दूसरा (y)-अवरोध (3) है / Second (y)-intercept is (3)
D दोनों के (y)-अवरोध अलग हैं / Both (y)-intercepts are different
Explanation opens after your attempt
Correct Answer
B. दोनों के (y)-अवरोध समान (5) हैं / Both (y)-intercepts are equal to (5)
Step 1
Concept
The constant term is (5) in both. Therefore both (y)-intercepts are (5).
Step 2
Why this answer is correct
The correct answer is B. दोनों के (y)-अवरोध समान (5) हैं / Both (y)-intercepts are equal to (5). The constant term is (5) in both. Therefore both (y)-intercepts are (5).
Step 3
Exam Tip
दोनों में स्थिर पद (5) है। इसलिए दोनों का (y)-अवरोध (5) है।
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कौन सी रेखा (y)-अवरोध (0) और ढाल (-6) रखती है?
Which line has (y)-intercept (0) and slope (-6)?
#origin
#negative_slope
#equation_selection
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A (y=-6x)
B (y=6x)
C (y=-6)
D (y=x-6)
Explanation opens after your attempt
Correct Answer
A. (y=-6x)
Step 1
Concept
(y)-intercept (0) means there is no constant term. With slope (-6), the line is (y=-6x).
Step 2
Why this answer is correct
The correct answer is A. (y=-6x). (y)-intercept (0) means there is no constant term. With slope (-6), the line is (y=-6x).
Step 3
Exam Tip
(y)-अवरोध (0) का अर्थ स्थिर पद नहीं है। ढाल (-6) होने से (y=-6x) है।
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कौन सी रेखा ढाल (0) और (y)-अवरोध (9) रखती है?
Which line has slope (0) and (y)-intercept (9)?
#zero_slope
#y_intercept
#equation_selection
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A (y=9x)
B (y=0x+9)
C (y=x+9)
D (y=-9x)
Explanation opens after your attempt
Correct Answer
B. (y=0x+9)
Step 1
Concept
With slope (0), the coefficient of (x) is (0). With (y)-intercept (9), we get (y=0x+9).
Step 2
Why this answer is correct
The correct answer is B. (y=0x+9). With slope (0), the coefficient of (x) is (0). With (y)-intercept (9), we get (y=0x+9).
Step 3
Exam Tip
ढाल (0) होने पर (x) का गुणांक (0) होगा। (y)-अवरोध (9) से (y=0x+9) मिलता है।
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रेखा (y=-x+6) में (x=0) पर (y) का मान क्या है?
What is the value of (y) at (x=0) in the line (y=-x+6)?
#value_at_zero
#y_intercept
#substitution
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A (6)
B (-1)
C (0)
D (-6)
Explanation opens after your attempt
Step 1
Concept
Putting (x=0) gives (y=6). This is the (y)-intercept.
Step 2
Why this answer is correct
The correct answer is A. (6). Putting (x=0) gives (y=6). This is the (y)-intercept.
Step 3
Exam Tip
(x=0) रखने पर (y=6) मिलता है। यही (y)-अवरोध है।
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रेखा (y=10-4x) में (x=0) पर (y) का मान क्या है?
What is the value of (y) at (x=0) in the line (y=10-4x)?
#value_at_zero
#y_intercept
#rearranged_form
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A (4)
B (-4)
C (10)
D (-10)
Explanation opens after your attempt
Step 1
Concept
Putting (x=0), (y=10). Therefore the (y)-intercept is (10).
Step 2
Why this answer is correct
The correct answer is C. (10). Putting (x=0), (y=10). Therefore the (y)-intercept is (10).
Step 3
Exam Tip
(x=0) रखने पर (y=10) होता है। इसलिए (y)-अवरोध (10) है।
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यदि (y=mx+c) में (m>0) और (c<0) है तो कौन सा कथन सही है?
If (m>0) and (c<0) in (y=mx+c), which statement is correct?
#sign_of_slope
#sign_of_intercept
#concept
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A ढाल धनात्मक और (y)-अवरोध ऋणात्मक है / Slope is positive and (y)-intercept is negative
B ढाल ऋणात्मक और (y)-अवरोध धनात्मक है / Slope is negative and (y)-intercept is positive
C दोनों धनात्मक हैं / Both are positive
D दोनों शून्य हैं / Both are zero
Explanation opens after your attempt
Correct Answer
A. ढाल धनात्मक और (y)-अवरोध ऋणात्मक है / Slope is positive and (y)-intercept is negative
Step 1
Concept
(m) gives the slope and (c) gives the (y)-intercept. So the signs come directly from (m) and (c).
Step 2
Why this answer is correct
The correct answer is A. ढाल धनात्मक और (y)-अवरोध ऋणात्मक है / Slope is positive and (y)-intercept is negative. (m) gives the slope and (c) gives the (y)-intercept. So the signs come directly from (m) and (c).
Step 3
Exam Tip
(m) ढाल और (c) (y)-अवरोध बताता है। इसलिए संकेत सीधे (m) और (c) से मिलते हैं।
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यदि (y=mx+c) में (m<0) और (c>0) है तो रेखा का व्यवहार कैसा होगा?
If (m<0) and (c>0) in (y=mx+c), how will the line behave?
#negative_slope
#positive_intercept
#graph_behavior
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A बढ़ती हुई और (y)-अक्ष को ऋणात्मक भाग में काटती है / Increasing and cuts negative part of (y)-axis
B घटती हुई और (y)-अक्ष को धनात्मक भाग में काटती है / Decreasing and cuts positive part of (y)-axis
C क्षैतिज और मूल से गुजरती है / Horizontal and passes through origin
D बढ़ती हुई और मूल से गुजरती है / Increasing and passes through origin
Explanation opens after your attempt
Correct Answer
B. घटती हुई और (y)-अक्ष को धनात्मक भाग में काटती है / Decreasing and cuts positive part of (y)-axis
Step 1
Concept
(m<0) means the line decreases and (c>0) means the (y)-intercept is positive. Read the signs separately.
Step 2
Why this answer is correct
The correct answer is B. घटती हुई और (y)-अक्ष को धनात्मक भाग में काटती है / Decreasing and cuts positive part of (y)-axis. (m<0) means the line decreases and (c>0) means the (y)-intercept is positive. Read the signs separately.
Step 3
Exam Tip
(m<0) से रेखा घटती है और (c>0) से (y)-अवरोध धनात्मक है। संकेतों को अलग-अलग पढ़ें।
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समीकरण (y+5=2x) की ढाल क्या है?
What is the slope of the equation (y+5=2x)?
#rearrange_equation
#slope
#coefficient
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A (5)
B (2)
C (-5)
D (-2)
Explanation opens after your attempt
Step 1
Concept
Write it as (y=2x-5). The coefficient of (x) is (2).
Step 2
Why this answer is correct
The correct answer is B. (2). Write it as (y=2x-5). The coefficient of (x) is (2).
Step 3
Exam Tip
इसे (y=2x-5) लिखें। (x) का गुणांक (2) है।
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समीकरण (y-7=-3x) का (y)-अवरोध क्या है?
What is the (y)-intercept of the equation (y-7=-3x)?
#rearrange_equation
#y_intercept
#constant_term
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A (7)
B (-7)
C (-3)
D (3)
Explanation opens after your attempt
Step 1
Concept
Write it as (y=-3x+7). The constant term is (7).
Step 2
Why this answer is correct
The correct answer is A. (7). Write it as (y=-3x+7). The constant term is (7).
Step 3
Exam Tip
इसे (y=-3x+7) लिखते हैं। स्थिर पद (7) है।
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रेखा (y=ax+4) की ढाल (9) है। समीकरण कौन सा होगा?
The line (y=ax+4) has slope (9). Which equation is correct?
#parameter_slope
#equation_selection
#linear_form
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A (y=9x+4)
B (y=4x+9)
C (y=-9x+4)
D (y=9x-4)
Explanation opens after your attempt
Correct Answer
A. (y=9x+4)
Step 1
Concept
The slope equals (a). Putting (a=9) gives (y=9x+4).
Step 2
Why this answer is correct
The correct answer is A. (y=9x+4). The slope equals (a). Putting (a=9) gives (y=9x+4).
Step 3
Exam Tip
ढाल (a) के बराबर है। (a=9) रखने पर (y=9x+4) मिलता है।
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रेखा (y=-2x+b) का (y)-अवरोध (-6) है। समीकरण कौन सा होगा?
The line (y=-2x+b) has (y)-intercept (-6). Which equation is correct?
#parameter_intercept
#equation_selection
#negative_intercept
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A (y=-2x+6)
B (y=-2x-6)
C (y=2x-6)
D (y=-6x-2)
Explanation opens after your attempt
Correct Answer
B. (y=-2x-6)
Step 1
Concept
(b) is the (y)-intercept. Putting (b=-6) gives (y=-2x-6).
Step 2
Why this answer is correct
The correct answer is B. (y=-2x-6). (b) is the (y)-intercept. Putting (b=-6) gives (y=-2x-6).
Step 3
Exam Tip
(b) ही (y)-अवरोध है। (b=-6) रखने पर (y=-2x-6) बनता है।
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दो रेखाएं (y=3x+1) और (y=3x-5) कैसी होंगी?
How are the two lines (y=3x+1) and (y=3x-5) related?
#compare_slopes
#parallel_lines
#linear_graph
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A वे समान ढाल वाली हैं / They have the same slope
B वे समान (y)-अवरोध वाली हैं / They have the same (y)-intercept
C दोनों क्षैतिज हैं / Both are horizontal
D दोनों मूल से गुजरती हैं / Both pass through origin
Explanation opens after your attempt
Correct Answer
A. वे समान ढाल वाली हैं / They have the same slope
Step 1
Concept
Both have coefficient (3) of (x). Therefore their slopes are the same.
Step 2
Why this answer is correct
The correct answer is A. वे समान ढाल वाली हैं / They have the same slope. Both have coefficient (3) of (x). Therefore their slopes are the same.
Step 3
Exam Tip
दोनों में (x) का गुणांक (3) है। इसलिए उनकी ढाल समान है।
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दो रेखाएं (y=2x+7) और (y=-5x+7) कैसी समानता रखती हैं?
What similarity do the two lines (y=2x+7) and (y=-5x+7) have?
#compare_intercepts
#constant_term
#linear_graph
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A दोनों की ढाल समान है / Both have the same slope
B दोनों का (y)-अवरोध समान है / Both have the same (y)-intercept
C दोनों की ढाल (0) है / Both slopes are (0)
D दोनों घटती हुई हैं / Both are decreasing
Explanation opens after your attempt
Correct Answer
B. दोनों का (y)-अवरोध समान है / Both have the same (y)-intercept
Step 1
Concept
Both have constant term (7). Therefore both have the same (y)-intercept.
Step 2
Why this answer is correct
The correct answer is B. दोनों का (y)-अवरोध समान है / Both have the same (y)-intercept. Both have constant term (7). Therefore both have the same (y)-intercept.
Step 3
Exam Tip
दोनों में स्थिर पद (7) है। इसलिए दोनों का (y)-अवरोध समान है।
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रेखा (y=12) की ढाल और (y)-अवरोध कौन से हैं?
What are the slope and (y)-intercept of the line (y=12)?
#zero_slope
#horizontal_line
#y_intercept
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A ढाल (12) और (y)-अवरोध (0) / Slope (12) and (y)-intercept (0)
B ढाल (0) और (y)-अवरोध (12) / Slope (0) and (y)-intercept (12)
C ढाल (1) और (y)-अवरोध (12) / Slope (1) and (y)-intercept (12)
D ढाल (0) और (y)-अवरोध (-12) / Slope (0) and (y)-intercept (-12)
Explanation opens after your attempt
Correct Answer
B. ढाल (0) और (y)-अवरोध (12) / Slope (0) and (y)-intercept (12)
Step 1
Concept
(y=12) is a horizontal line. Its slope is (0) and its (y)-intercept is (12).
Step 2
Why this answer is correct
The correct answer is B. ढाल (0) और (y)-अवरोध (12) / Slope (0) and (y)-intercept (12). (y=12) is a horizontal line. Its slope is (0) and its (y)-intercept is (12).
Step 3
Exam Tip
(y=12) क्षैतिज रेखा है। इसकी ढाल (0) और (y)-अवरोध (12) है।
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रेखा (y=-9) की ढाल और (y)-अवरोध कौन से हैं?
What are the slope and (y)-intercept of the line (y=-9)?
#zero_slope
#negative_intercept
#horizontal_line
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A ढाल (-9) और (y)-अवरोध (0) / Slope (-9) and (y)-intercept (0)
B ढाल (0) और (y)-अवरोध (9) / Slope (0) and (y)-intercept (9)
C ढाल (0) और (y)-अवरोध (-9) / Slope (0) and (y)-intercept (-9)
D ढाल (1) और (y)-अवरोध (-9) / Slope (1) and (y)-intercept (-9)
Explanation opens after your attempt
Correct Answer
C. ढाल (0) और (y)-अवरोध (-9) / Slope (0) and (y)-intercept (-9)
Step 1
Concept
The constant line (y=-9) has slope (0). At (x=0), (y=-9).
Step 2
Why this answer is correct
The correct answer is C. ढाल (0) और (y)-अवरोध (-9) / Slope (0) and (y)-intercept (-9). The constant line (y=-9) has slope (0). At (x=0), (y=-9).
Step 3
Exam Tip
स्थिर रेखा (y=-9) की ढाल (0) होती है। (x=0) पर (y=-9) मिलता है।
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रेखा \(y=\frac{1}{4}x+6\) में (x) के (8) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{1}{4}x+6\), how much will (y) increase when (x) increases by (8)?
#fraction_slope
#rate_of_change
#total_change
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A (1)
B (2)
C (6)
D (8)
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Step 1
Concept
The slope is \(\frac{1}{4}\). The change will be \(\frac{1}{4}\times8=2\).
Step 2
Why this answer is correct
The correct answer is B. (2). The slope is \(\frac{1}{4}\). The change will be \(\frac{1}{4}\times8=2\).
Step 3
Exam Tip
ढाल \(\frac{1}{4}\) है। परिवर्तन \(\frac{1}{4}\times8=2\) होगा।
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रेखा \(y=-\frac{2}{5}x+3\) में (x) के (10) बढ़ने पर (y) कितना घटेगा?
In the line \(y=-\frac{2}{5}x+3\), how much will (y) decrease when (x) increases by (10)?
#fraction_slope
#negative_slope
#rate_of_change
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A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
The slope is \(-\frac{2}{5}\). The change is \(-\frac{2}{5}\times10=-4\), so the decrease is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). The slope is \(-\frac{2}{5}\). The change is \(-\frac{2}{5}\times10=-4\), so the decrease is (4).
Step 3
Exam Tip
ढाल \(-\frac{2}{5}\) है। परिवर्तन \(-\frac{2}{5}\times10=-4\) है इसलिए कमी (4) है।
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यदि (y=mx+5) रेखा ( (3,14) ) से गुजरती है तो ढाल क्या है?
If the line (y=mx+5) passes through ( (3,14) ), what is the slope?
#find_slope
#point_given
#parameter
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A (2)
B (3)
C (4)
D (5)
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Step 1
Concept
Substituting the point gives (14=3m+5). Thus (3m=9) and (m=3).
Step 2
Why this answer is correct
The correct answer is B. (3). Substituting the point gives (14=3m+5). Thus (3m=9) and (m=3).
Step 3
Exam Tip
बिंदु रखने पर (14=3m+5) मिलता है। इससे (3m=9) और (m=3) है।
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यदि (y=-4x+c) रेखा ( (2,1) ) से गुजरती है तो (y)-अवरोध क्या है?
If the line (y=-4x+c) passes through ( (2,1) ), what is the (y)-intercept?
#find_intercept
#point_given
#negative_slope
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A (7)
B (8)
C (9)
D (10)
Explanation opens after your attempt
Step 1
Concept
Substituting the point gives (1=-4(2)+c). Therefore (c=9) is the (y)-intercept.
Step 2
Why this answer is correct
The correct answer is C. (9). Substituting the point gives (1=-4(2)+c). Therefore (c=9) is the (y)-intercept.
Step 3
Exam Tip
बिंदु रखने पर (1=-4(2)+c) मिलता है। इसलिए (c=9) (y)-अवरोध है।
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कौन सी रेखा (x=0) पर (y=4) देती है और ढाल (3) रखती है?
Which line gives (y=4) at (x=0) and has slope (3)?
#equation_selection
#slope
#intercept
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A (y=3x+4)
B (y=4x+3)
C (y=-3x+4)
D (y=3x-4)
Explanation opens after your attempt
Correct Answer
A. (y=3x+4)
Step 1
Concept
(y=4) at (x=0) means the (y)-intercept is (4). With slope (3), the line is (y=3x+4).
Step 2
Why this answer is correct
The correct answer is A. (y=3x+4). (y=4) at (x=0) means the (y)-intercept is (4). With slope (3), the line is (y=3x+4).
Step 3
Exam Tip
(x=0) पर (y=4) का अर्थ (y)-अवरोध (4) है। ढाल (3) से रेखा (y=3x+4) है।
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कौन सी रेखा (x=0) पर (y=-2) देती है और ढाल (-5) रखती है?
Which line gives (y=-2) at (x=0) and has slope (-5)?
#equation_selection
#negative_slope
#negative_intercept
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A (y=5x-2)
B (y=-2x-5)
C (y=-5x-2)
D (y=-5x+2)
Explanation opens after your attempt
Correct Answer
C. (y=-5x-2)
Step 1
Concept
At (x=0), (y=-2) gives (c=-2). With slope (-5), (y=-5x-2) is correct.
Step 2
Why this answer is correct
The correct answer is C. (y=-5x-2). At (x=0), (y=-2) gives (c=-2). With slope (-5), (y=-5x-2) is correct.
Step 3
Exam Tip
(x=0) पर (y=-2) से (c=-2) मिलता है। ढाल (-5) होने से (y=-5x-2) सही है।
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रेखा (y=8x-3) और (y=-8x-3) के बारे में सही कथन क्या है?
Which statement about (y=8x-3) and (y=-8x-3) is correct?
#compare_slope_intercept
#linear_lines
#constant_term
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A ढाल समान है और (y)-अवरोध अलग हैं / Slopes are same and (y)-intercepts are different
B ढाल अलग है और (y)-अवरोध समान हैं / Slopes are different and (y)-intercepts are same
C दोनों की ढाल (0) है / Both slopes are (0)
D दोनों मूल से गुजरती हैं / Both pass through origin
Explanation opens after your attempt
Correct Answer
B. ढाल अलग है और (y)-अवरोध समान हैं / Slopes are different and (y)-intercepts are same
Step 1
Concept
The slopes are (8) and (-8), but the constant term (-3) is same in both. So the (y)-intercepts are equal.
Step 2
Why this answer is correct
The correct answer is B. ढाल अलग है और (y)-अवरोध समान हैं / Slopes are different and (y)-intercepts are same. The slopes are (8) and (-8), but the constant term (-3) is same in both. So the (y)-intercepts are equal.
Step 3
Exam Tip
ढालें (8) और (-8) हैं लेकिन स्थिर पद (-3) दोनों में समान है। इसलिए (y)-अवरोध समान है।
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रेखा (y=-6x+2) और (y=-6x-7) के बारे में सही कथन क्या है?
Which statement about (y=-6x+2) and (y=-6x-7) is correct?
#compare_slope_intercept
#parallel_lines
#negative_slope
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A ढाल समान है और (y)-अवरोध अलग हैं / Slopes are same and (y)-intercepts are different
B ढाल अलग है और (y)-अवरोध समान हैं / Slopes are different and (y)-intercepts are same
C दोनों के (y)-अवरोध (0) हैं / Both (y)-intercepts are (0)
D दोनों की ढाल धनात्मक है / Both slopes are positive
Explanation opens after your attempt
Correct Answer
A. ढाल समान है और (y)-अवरोध अलग हैं / Slopes are same and (y)-intercepts are different
Step 1
Concept
Both have coefficient (-6) of (x). The constant terms (2) and (-7) are different.
Step 2
Why this answer is correct
The correct answer is A. ढाल समान है और (y)-अवरोध अलग हैं / Slopes are same and (y)-intercepts are different. Both have coefficient (-6) of (x). The constant terms (2) and (-7) are different.
Step 3
Exam Tip
दोनों में (x) का गुणांक (-6) है। स्थिर पद (2) और (-7) अलग हैं।
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