समीकरण (3y=15x+18) को (y=mx+c) रूप में लिखने पर ढाल क्या होगी?
When the equation (3y=15x+18) is written in (y=mx+c) form, what will be the slope?
#slope
#rearrange_equation
#linear_form
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A (3)
B (5)
C (6)
D (15)
Explanation opens after your attempt
Step 1
Concept
Dividing by (3) gives (y=5x+6). Therefore the slope is (5).
Step 2
Why this answer is correct
The correct answer is B. (5). Dividing by (3) gives (y=5x+6). Therefore the slope is (5).
Step 3
Exam Tip
(3) से भाग देने पर (y=5x+6) मिलता है। इसलिए ढाल (5) है।
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समीकरण (5y=20x-35) का (y)-अवरोध क्या है?
What is the (y)-intercept of the equation (5y=20x-35)?
#y_intercept
#rearrange_equation
#constant_term
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A (4)
B (-7)
C (20)
D (-35)
Explanation opens after your attempt
Step 1
Concept
Dividing by (5) gives (y=4x-7). The constant term (-7) is the (y)-intercept.
Step 2
Why this answer is correct
The correct answer is B. (-7). Dividing by (5) gives (y=4x-7). The constant term (-7) is the (y)-intercept.
Step 3
Exam Tip
(5) से भाग देने पर (y=4x-7) मिलता है। स्थिर पद (-7) (y)-अवरोध है।
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समीकरण (4x+y=13) की ढाल क्या है?
What is the slope of the equation (4x+y=13)?
#standard_form
#slope
#rearrange
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A (4)
B (13)
C (-4)
D (-13)
Explanation opens after your attempt
Step 1
Concept
It is written as (y=-4x+13). The coefficient of (x), (-4), is the slope.
Step 2
Why this answer is correct
The correct answer is C. (-4). It is written as (y=-4x+13). The coefficient of (x), (-4), is the slope.
Step 3
Exam Tip
इसे (y=-4x+13) लिखा जाता है। (x) का गुणांक (-4) ढाल है।
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समीकरण (6x-y=18) का (y)-अवरोध क्या है?
What is the (y)-intercept of the equation (6x-y=18)?
#standard_form
#y_intercept
#sign_change
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A (-18)
B (6)
C (-6)
D (18)
Explanation opens after your attempt
Step 1
Concept
From (6x-y=18), we get (y=6x-18). Therefore the (y)-intercept is (-18).
Step 2
Why this answer is correct
The correct answer is A. (-18). From (6x-y=18), we get (y=6x-18). Therefore the (y)-intercept is (-18).
Step 3
Exam Tip
(6x-y=18) से (y=6x-18) मिलता है। इसलिए (y)-अवरोध (-18) है।
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रेखा (y=21-7x) की ढाल और (y)-अवरोध कौन से हैं?
What are the slope and (y)-intercept of the line (y=21-7x)?
#slope
#y_intercept
#rearranged_form
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A ढाल (-7) और (y)-अवरोध (21) / Slope (-7) and (y)-intercept (21)
B ढाल (21) और (y)-अवरोध (-7) / Slope (21) and (y)-intercept (-7)
C ढाल (7) और (y)-अवरोध (21) / Slope (7) and (y)-intercept (21)
D ढाल (-21) और (y)-अवरोध (7) / Slope (-21) and (y)-intercept (7)
Explanation opens after your attempt
Correct Answer
A. ढाल (-7) और (y)-अवरोध (21) / Slope (-7) and (y)-intercept (21)
Step 1
Concept
Write it as (y=-7x+21). So the slope is (-7) and the (y)-intercept is (21).
Step 2
Why this answer is correct
The correct answer is A. ढाल (-7) और (y)-अवरोध (21) / Slope (-7) and (y)-intercept (21). Write it as (y=-7x+21). So the slope is (-7) and the (y)-intercept is (21).
Step 3
Exam Tip
इसे (y=-7x+21) लिखें। इसलिए ढाल (-7) और (y)-अवरोध (21) है।
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रेखा (y=-6x+17) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=-6x+17) cut the (y)-axis?
#y_intercept
#point_on_axis
#graph
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A ( (17,0) )
B ( (0,-6) )
C ( (0,17) )
D ( (-6,17) )
Explanation opens after your attempt
Correct Answer
C. ( (0,17) )
Step 1
Concept
On the (y)-axis, (x=0). Then (y=17).
Step 2
Why this answer is correct
The correct answer is C. ( (0,17) ). On the (y)-axis, (x=0). Then (y=17).
Step 3
Exam Tip
(y)-अक्ष पर (x=0) होता है। तब (y=17) मिलता है।
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यदि रेखा की ढाल (9) और (y)-अवरोध (-4) है तो समीकरण कौन सा होगा?
If a line has slope (9) and (y)-intercept (-4), which equation is correct?
#equation_from_slope_intercept
#model_selection
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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
In (y=mx+c), put (m=9) and (c=-4). The correct equation is (y=9x-4).
Step 2
Why this answer is correct
The correct answer is A. (y=9x-4). In (y=mx+c), put (m=9) and (c=-4). The correct equation is (y=9x-4).
Step 3
Exam Tip
रूप (y=mx+c) में (m=9) और (c=-4) रखें। सही समीकरण (y=9x-4) है।
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यदि रेखा की ढाल (-10) और (y)-अवरोध (8) है तो समीकरण कौन सा होगा?
If a line has slope (-10) and (y)-intercept (8), which equation is correct?
#negative_slope
#equation_selection
#intercept
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A (y=10x+8)
B (y=8x-10)
C (y=-10x+8)
D (y=-8x+10)
Explanation opens after your attempt
Correct Answer
C. (y=-10x+8)
Step 1
Concept
The slope is the coefficient of (x) and the (y)-intercept is the constant term. So (y=-10x+8) is correct.
Step 2
Why this answer is correct
The correct answer is C. (y=-10x+8). The slope is the coefficient of (x) and the (y)-intercept is the constant term. So (y=-10x+8) is correct.
Step 3
Exam Tip
ढाल (x) का गुणांक और (y)-अवरोध स्थिर पद होता है। इसलिए (y=-10x+8) सही है।
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रेखा (y=mx-9) की ढाल (6) है। (m) का मान क्या है?
The line (y=mx-9) has slope (6). What is the value of (m)?
#parameter_slope
#linear_form
#slope
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A (6)
B (-6)
C (9)
D (-9)
Explanation opens after your attempt
Step 1
Concept
In (y=mx+c), (m) itself is the slope. Therefore (m=6).
Step 2
Why this answer is correct
The correct answer is A. (6). In (y=mx+c), (m) itself is the slope. Therefore (m=6).
Step 3
Exam Tip
(y=mx+c) में (m) ही ढाल है। इसलिए (m=6) है।
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रेखा (y=-5x+c) (y)-अक्ष को ( (0,12) ) पर काटती है। (c) क्या है?
The line (y=-5x+c) cuts the (y)-axis at ( (0,12) ). What is (c)?
#parameter_intercept
#y_axis
#constant_term
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A (-5)
B (5)
C (12)
D (-12)
Explanation opens after your attempt
Step 1
Concept
On the (y)-axis, (x=0), and (y=c). Therefore (c=12).
Step 2
Why this answer is correct
The correct answer is C. (12). On the (y)-axis, (x=0), and (y=c). Therefore (c=12).
Step 3
Exam Tip
(y)-अक्ष पर (x=0) होता है और (y=c) होता है। इसलिए (c=12) है।
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रेखा (y=7x+2) में (x) के (5) बढ़ने पर (y) कितना बढ़ेगा?
In the line (y=7x+2), how much will (y) increase when (x) increases by (5)?
#rate_of_change
#total_change
#slope
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A (12)
B (35)
C (7)
D (5)
Explanation opens after your attempt
Step 1
Concept
The slope is (7). An increase of (5) in (x) makes (y) increase by \(7\times5=35\).
Step 2
Why this answer is correct
The correct answer is B. (35). The slope is (7). An increase of (5) in (x) makes (y) increase by \(7\times5=35\).
Step 3
Exam Tip
ढाल (7) है। (x) में (5) की वृद्धि से (y) \(7\times5=35\) बढ़ेगा।
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रेखा (y=-4x+19) में (x) के (6) बढ़ने पर (y) में क्या परिवर्तन होगा?
In the line (y=-4x+19), what change will occur in (y) when (x) increases by (6)?
#negative_slope
#rate_of_change
#total_change
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A (24) बढ़ेगा / Increases by (24)
B (19) घटेगा / Decreases by (19)
C (24) घटेगा / Decreases by (24)
D (6) घटेगा / Decreases by (6)
Explanation opens after your attempt
Correct Answer
C. (24) घटेगा / Decreases by (24)
Step 1
Concept
The slope is (-4). The change is \(-4\times6=-24\), so (y) decreases by (24).
Step 2
Why this answer is correct
The correct answer is C. (24) घटेगा / Decreases by (24). The slope is (-4). The change is \(-4\times6=-24\), so (y) decreases by (24).
Step 3
Exam Tip
ढाल (-4) है। परिवर्तन \(-4\times6=-24\) है इसलिए (y) (24) घटेगा।
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समीकरण (7y=-21x+28) में ढाल और (y)-अवरोध क्या हैं?
What are the slope and (y)-intercept in the equation (7y=-21x+28)?
#rearrange_equation
#slope
#y_intercept
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A ढाल (-21) और (y)-अवरोध (28) / Slope (-21) and (y)-intercept (28)
B ढाल (-3) और (y)-अवरोध (4) / Slope (-3) and (y)-intercept (4)
C ढाल (3) और (y)-अवरोध (-4) / Slope (3) and (y)-intercept (-4)
D ढाल (7) और (y)-अवरोध (28) / Slope (7) and (y)-intercept (28)
Explanation opens after your attempt
Correct Answer
B. ढाल (-3) और (y)-अवरोध (4) / Slope (-3) and (y)-intercept (4)
Step 1
Concept
Dividing by (7) gives (y=-3x+4). So the slope is (-3) and the (y)-intercept is (4).
Step 2
Why this answer is correct
The correct answer is B. ढाल (-3) और (y)-अवरोध (4) / Slope (-3) and (y)-intercept (4). Dividing by (7) gives (y=-3x+4). So the slope is (-3) and the (y)-intercept is (4).
Step 3
Exam Tip
(7) से भाग देने पर (y=-3x+4) मिलता है। इसलिए ढाल (-3) और (y)-अवरोध (4) है।
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समीकरण (3x+4y=20) का (y)-अवरोध क्या है?
What is the (y)-intercept of the equation (3x+4y=20)?
#standard_form
#y_intercept
#substitution
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A (3)
B (4)
C (5)
D (20)
Explanation opens after your attempt
Step 1
Concept
Putting (x=0) gives (4y=20) and (y=5). Therefore the (y)-intercept is (5).
Step 2
Why this answer is correct
The correct answer is C. (5). Putting (x=0) gives (4y=20) and (y=5). Therefore the (y)-intercept is (5).
Step 3
Exam Tip
(x=0) रखने पर (4y=20) और (y=5) मिलता है। इसलिए (y)-अवरोध (5) है।
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समीकरण (6x+3y=21) की ढाल क्या है?
What is the slope of the equation (6x+3y=21)?
#standard_form
#slope
#rearrange
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A (2)
B (-2)
C (7)
D (-7)
Explanation opens after your attempt
Step 1
Concept
(3y=-6x+21) and (y=-2x+7). Therefore the slope is (-2).
Step 2
Why this answer is correct
The correct answer is B. (-2). (3y=-6x+21) and (y=-2x+7). Therefore the slope is (-2).
Step 3
Exam Tip
(3y=-6x+21) और (y=-2x+7) है। इसलिए ढाल (-2) है।
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रेखा \(y=\frac{7}{3}x-4\) में (x) के (3) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{7}{3}x-4\), how much will (y) increase when (x) increases by (3)?
#fraction_slope
#total_change
#rate_of_change
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A (3)
B (7)
C (4)
D (10)
Explanation opens after your attempt
Step 1
Concept
The slope is \(\frac{7}{3}\). The change will be \(\frac{7}{3}\times3=7\).
Step 2
Why this answer is correct
The correct answer is B. (7). The slope is \(\frac{7}{3}\). The change will be \(\frac{7}{3}\times3=7\).
Step 3
Exam Tip
ढाल \(\frac{7}{3}\) है। परिवर्तन \(\frac{7}{3}\times3=7\) होगा।
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रेखा \(y=-\frac{5}{6}x+11\) में (x) के (12) बढ़ने पर (y) कितना घटेगा?
In the line \(y=-\frac{5}{6}x+11\), how much will (y) decrease when (x) increases by (12)?
#fraction_slope
#negative_slope
#total_change
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A (5)
B (6)
C (10)
D (12)
Explanation opens after your attempt
Step 1
Concept
The slope is \(-\frac{5}{6}\). The change is \(-\frac{5}{6}\times12=-10\), so the decrease is (10).
Step 2
Why this answer is correct
The correct answer is C. (10). The slope is \(-\frac{5}{6}\). The change is \(-\frac{5}{6}\times12=-10\), so the decrease is (10).
Step 3
Exam Tip
ढाल \(-\frac{5}{6}\) है। परिवर्तन \(-\frac{5}{6}\times12=-10\) है इसलिए कमी (10) है।
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यदि (y=mx+3) रेखा ( (4,23) ) से गुजरती है तो (m) क्या होगा?
If (y=mx+3) passes through ( (4,23) ), what will (m) be?
#find_slope
#point_given
#parameter
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A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
Substituting the point gives (23=4m+3). Thus (4m=20) and (m=5).
Step 2
Why this answer is correct
The correct answer is B. (5). Substituting the point gives (23=4m+3). Thus (4m=20) and (m=5).
Step 3
Exam Tip
बिंदु रखने पर (23=4m+3) मिलता है। इससे (4m=20) और (m=5) है।
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यदि (y=-3x+c) रेखा ( (5,2) ) से गुजरती है तो (c) क्या होगा?
If (y=-3x+c) passes through ( (5,2) ), what will (c) be?
#find_intercept
#point_given
#parameter
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A (13)
B (15)
C (17)
D (19)
Explanation opens after your attempt
Step 1
Concept
Substituting the point gives (2=-3(5)+c). Therefore (c=17).
Step 2
Why this answer is correct
The correct answer is C. (17). Substituting the point gives (2=-3(5)+c). Therefore (c=17).
Step 3
Exam Tip
बिंदु रखने पर (2=-3(5)+c) मिलता है। इसलिए (c=17) है।
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यदि रेखा की ढाल (4) है और वह (y)-अक्ष को ( (0,-7) ) पर काटती है तो समीकरण क्या होगा?
If a line has slope (4) and cuts the (y)-axis at ( (0,-7) ), what is its equation?
#equation_from_slope_intercept
#negative_intercept
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A (y=4x-7)
B (y=-7x+4)
C (y=4x+7)
D (y=-4x-7)
Explanation opens after your attempt
Correct Answer
A. (y=4x-7)
Step 1
Concept
The slope is (4) and the (y)-intercept is (-7). Therefore (y=4x-7).
Step 2
Why this answer is correct
The correct answer is A. (y=4x-7). The slope is (4) and the (y)-intercept is (-7). Therefore (y=4x-7).
Step 3
Exam Tip
ढाल (4) है और (y)-अवरोध (-7) है। इसलिए (y=4x-7) है।
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यदि रेखा की ढाल (-6) है और (x=0) पर (y=5) है तो रेखा कौन सी है?
If a line has slope (-6) and (y=5) at (x=0), which line is it?
#equation_selection
#negative_slope
#intercept
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A (y=6x+5)
B (y=-6x+5)
C (y=-5x+6)
D (y=-6x-5)
Explanation opens after your attempt
Correct Answer
B. (y=-6x+5)
Step 1
Concept
(y=5) at (x=0) means the (y)-intercept is (5). With slope (-6), the line is (y=-6x+5).
Step 2
Why this answer is correct
The correct answer is B. (y=-6x+5). (y=5) at (x=0) means the (y)-intercept is (5). With slope (-6), the line is (y=-6x+5).
Step 3
Exam Tip
(x=0) पर (y=5) का अर्थ (y)-अवरोध (5) है। ढाल (-6) से (y=-6x+5) बनता है।
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रेखाएं (y=5x+8) और (y=5x-6) के बारे में सही कथन क्या है?
Which statement about the lines (y=5x+8) and (y=5x-6) is correct?
#compare_slopes
#parallel_lines
#coefficient
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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 मूल से गुजरती हैं / Both pass through origin
Explanation opens after your attempt
Correct Answer
A. दोनों की ढाल समान है / Both have the same slope
Step 1
Concept
Both have coefficient (5) of (x). Therefore both have the same slope.
Step 2
Why this answer is correct
The correct answer is A. दोनों की ढाल समान है / Both have the same slope. Both have coefficient (5) of (x). Therefore both have the same slope.
Step 3
Exam Tip
दोनों में (x) का गुणांक (5) है। इसलिए दोनों की ढाल समान है।
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रेखाएं (y=7x-3) और (y=-4x-3) के बारे में सही कथन क्या है?
Which statement about the lines (y=7x-3) and (y=-4x-3) is correct?
#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 क्षैतिज हैं / Both are horizontal
D दोनों की ढाल धनात्मक है / Both slopes are positive
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 (-3). 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 (-3). Therefore both have the same (y)-intercept.
Step 3
Exam Tip
दोनों में स्थिर पद (-3) है। इसलिए दोनों का (y)-अवरोध समान है।
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कौन सी रेखा ढाल (0) और (y)-अवरोध (-8) रखती है?
Which line has slope (0) and (y)-intercept (-8)?
#zero_slope
#negative_intercept
#equation_selection
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A (y=-8x)
B (y=0x-8)
C (y=8x-8)
D (y=x-8)
Explanation opens after your attempt
Correct Answer
B. (y=0x-8)
Step 1
Concept
With slope (0), the coefficient of (x) is (0). With (y)-intercept (-8), the line is (y=0x-8).
Step 2
Why this answer is correct
The correct answer is B. (y=0x-8). With slope (0), the coefficient of (x) is (0). With (y)-intercept (-8), the line is (y=0x-8).
Step 3
Exam Tip
ढाल (0) होने पर (x) का गुणांक (0) होगा। (y)-अवरोध (-8) से (y=0x-8) है।
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कौन सी रेखा मूल बिंदु से गुजरती है और ढाल (11) रखती है?
Which line passes through the origin and has slope (11)?
#origin
#slope
#equation_selection
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A (y=11x)
B (y=x+11)
C (y=11x+1)
D (y=-11x)
Explanation opens after your attempt
Correct Answer
A. (y=11x)
Step 1
Concept
Passing through the origin means the (y)-intercept is (0). With slope (11), (y=11x) is correct.
Step 2
Why this answer is correct
The correct answer is A. (y=11x). Passing through the origin means the (y)-intercept is (0). With slope (11), (y=11x) is correct.
Step 3
Exam Tip
मूल बिंदु से गुजरने पर (y)-अवरोध (0) होता है। ढाल (11) होने से (y=11x) सही है।
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रेखा (y=-x+10) में (x=0) पर (y) का मान क्या है?
What is the value of (y) at (x=0) in the line (y=-x+10)?
#value_at_zero
#y_intercept
#substitution
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A (10)
B (-1)
C (0)
D (-10)
Explanation opens after your attempt
Step 1
Concept
Putting (x=0) gives (y=10). This is the (y)-intercept.
Step 2
Why this answer is correct
The correct answer is A. (10). Putting (x=0) gives (y=10). This is the (y)-intercept.
Step 3
Exam Tip
(x=0) रखने पर (y=10) मिलता है। यही (y)-अवरोध है।
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रेखा (y=16-8x) में (x=0) पर (y) का मान क्या है?
What is the value of (y) at (x=0) in the line (y=16-8x)?
#value_at_zero
#y_intercept
#rearranged_form
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A (8)
B (-8)
C (16)
D (-16)
Explanation opens after your attempt
Step 1
Concept
Putting (x=0), (y=16). Therefore the (y)-intercept is (16).
Step 2
Why this answer is correct
The correct answer is C. (16). Putting (x=0), (y=16). Therefore the (y)-intercept is (16).
Step 3
Exam Tip
(x=0) रखने पर (y=16) होता है। इसलिए (y)-अवरोध (16) है।
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समीकरण (y+6=4x) का (y)-अवरोध क्या है?
What is the (y)-intercept of the equation (y+6=4x)?
#rearrange_equation
#y_intercept
#constant_term
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A (4)
B (6)
C (-6)
D (-4)
Explanation opens after your attempt
Step 1
Concept
It is written as (y=4x-6). The constant term (-6) is the (y)-intercept.
Step 2
Why this answer is correct
The correct answer is C. (-6). It is written as (y=4x-6). The constant term (-6) is the (y)-intercept.
Step 3
Exam Tip
इसे (y=4x-6) लिखा जाता है। स्थिर पद (-6) (y)-अवरोध है।
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समीकरण (y-8=-5x) की ढाल क्या है?
What is the slope of the equation (y-8=-5x)?
#rearrange_equation
#slope
#coefficient
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A (8)
B (-5)
C (5)
D (-8)
Explanation opens after your attempt
Step 1
Concept
Write it as (y=-5x+8). The coefficient of (x) is (-5).
Step 2
Why this answer is correct
The correct answer is B. (-5). Write it as (y=-5x+8). The coefficient of (x) is (-5).
Step 3
Exam Tip
इसे (y=-5x+8) लिखें। (x) का गुणांक (-5) है।
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रेखा (y=ax-5) की ढाल (-7) है। समीकरण कौन सा होगा?
The line (y=ax-5) has slope (-7). Which equation is correct?
#parameter_slope
#equation_selection
#negative_slope
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A (y=7x-5)
B (y=-7x-5)
C (y=-5x-7)
D (y=5x-7)
Explanation opens after your attempt
Correct Answer
B. (y=-7x-5)
Step 1
Concept
The slope equals (a). Putting (a=-7) gives (y=-7x-5).
Step 2
Why this answer is correct
The correct answer is B. (y=-7x-5). The slope equals (a). Putting (a=-7) gives (y=-7x-5).
Step 3
Exam Tip
ढाल (a) के बराबर है। (a=-7) रखने पर (y=-7x-5) मिलता है।
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रेखा (y=6x+b) का (y)-अवरोध (13) है। समीकरण कौन सा होगा?
The line (y=6x+b) has (y)-intercept (13). Which equation is correct?
#parameter_intercept
#equation_selection
#linear_form
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A (y=13x+6)
B (y=6x-13)
C (y=6x+13)
D (y=-6x+13)
Explanation opens after your attempt
Correct Answer
C. (y=6x+13)
Step 1
Concept
(b) is the (y)-intercept. Putting (b=13) gives (y=6x+13).
Step 2
Why this answer is correct
The correct answer is C. (y=6x+13). (b) is the (y)-intercept. Putting (b=13) gives (y=6x+13).
Step 3
Exam Tip
(b) (y)-अवरोध है। (b=13) रखने पर (y=6x+13) बनता है।
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दो रेखाएं (y=-4x+6) और (y=-4x-9) कैसी हैं?
How are the two lines (y=-4x+6) and (y=-4x-9) related?
#compare_slopes
#parallel_lines
#negative_slope
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A उनकी ढाल समान है / Their slopes are the same
B उनके (y)-अवरोध समान हैं / Their (y)-intercepts are the same
C दोनों की ढाल (0) है / Both slopes are (0)
D दोनों मूल से गुजरती हैं / Both pass through the origin
Explanation opens after your attempt
Correct Answer
A. उनकी ढाल समान है / Their slopes are the same
Step 1
Concept
Both have coefficient (-4) of (x). Their constant terms are different, so their (y)-intercepts are different.
Step 2
Why this answer is correct
The correct answer is A. उनकी ढाल समान है / Their slopes are the same. Both have coefficient (-4) of (x). Their constant terms are different, so their (y)-intercepts are different.
Step 3
Exam Tip
दोनों में (x) का गुणांक (-4) है। स्थिर पद अलग हैं इसलिए (y)-अवरोध अलग होंगे।
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दो रेखाएं (y=3x-8) और (y=-9x-8) कैसी समानता रखती हैं?
What similarity do the two lines (y=3x-8) and (y=-9x-8) 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 क्षैतिज हैं / Both are horizontal
D दोनों बढ़ती हुई हैं / Both are increasing
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 (-8). 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 (-8). Therefore both have the same (y)-intercept.
Step 3
Exam Tip
दोनों में स्थिर पद (-8) है। इसलिए दोनों का (y)-अवरोध समान है।
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रेखा (y=-18) की ढाल और (y)-अवरोध क्या हैं?
What are the slope and (y)-intercept of the line (y=-18)?
#zero_slope
#horizontal_line
#negative_intercept
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A ढाल (-18) और (y)-अवरोध (0) / Slope (-18) and (y)-intercept (0)
B ढाल (0) और (y)-अवरोध (-18) / Slope (0) and (y)-intercept (-18)
C ढाल (1) और (y)-अवरोध (-18) / Slope (1) and (y)-intercept (-18)
D ढाल (0) और (y)-अवरोध (18) / Slope (0) and (y)-intercept (18)
Explanation opens after your attempt
Correct Answer
B. ढाल (0) और (y)-अवरोध (-18) / Slope (0) and (y)-intercept (-18)
Step 1
Concept
(y=-18) is a horizontal line. Its slope is (0) and its (y)-intercept is (-18).
Step 2
Why this answer is correct
The correct answer is B. ढाल (0) और (y)-अवरोध (-18) / Slope (0) and (y)-intercept (-18). (y=-18) is a horizontal line. Its slope is (0) and its (y)-intercept is (-18).
Step 3
Exam Tip
(y=-18) क्षैतिज रेखा है। इसकी ढाल (0) और (y)-अवरोध (-18) है।
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रेखा (y=0x+9) में (x) के (12) बढ़ने पर (y) में कितना परिवर्तन होगा?
In the line (y=0x+9), what change will occur in (y) when (x) increases by (12)?
#zero_slope
#rate_of_change
#horizontal_line
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A (0)
B (9)
C (12)
D (108)
Explanation opens after your attempt
Step 1
Concept
The slope is (0). So even when (x) changes, there is no change in (y).
Step 2
Why this answer is correct
The correct answer is A. (0). The slope is (0). So even when (x) changes, there is no change in (y).
Step 3
Exam Tip
ढाल (0) है। इसलिए (x) बदलने पर भी (y) में कोई परिवर्तन नहीं होगा।
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रेखा \(y=\frac{3}{4}x+2\) में (x) के (8) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{3}{4}x+2\), how much will (y) increase when (x) increases by (8)?
#fraction_slope
#rate_of_change
#total_change
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A (3)
B (6)
C (8)
D (11)
Explanation opens after your attempt
Step 1
Concept
The slope is \(\frac{3}{4}\). The change will be \(\frac{3}{4}\times8=6\).
Step 2
Why this answer is correct
The correct answer is B. (6). The slope is \(\frac{3}{4}\). The change will be \(\frac{3}{4}\times8=6\).
Step 3
Exam Tip
ढाल \(\frac{3}{4}\) है। परिवर्तन \(\frac{3}{4}\times8=6\) होगा।
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रेखा \(y=-\frac{2}{7}x+15\) में (x) के (21) बढ़ने पर (y) कितना घटेगा?
In the line \(y=-\frac{2}{7}x+15\), how much will (y) decrease when (x) increases by (21)?
#fraction_slope
#negative_slope
#change
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A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
The slope is \(-\frac{2}{7}\). The change is \(-\frac{2}{7}\times21=-6\), so the decrease is (6).
Step 2
Why this answer is correct
The correct answer is C. (6). The slope is \(-\frac{2}{7}\). The change is \(-\frac{2}{7}\times21=-6\), so the decrease is (6).
Step 3
Exam Tip
ढाल \(-\frac{2}{7}\) है। परिवर्तन \(-\frac{2}{7}\times21=-6\) है इसलिए कमी (6) है।
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यदि (y=mx-6) रेखा ( (3,9) ) से गुजरती है तो ढाल क्या है?
If the line (y=mx-6) passes through ( (3,9) ), what is the slope?
#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 (9=3m-6). Thus (3m=15) and (m=5).
Step 2
Why this answer is correct
The correct answer is C. (5). Substituting the point gives (9=3m-6). Thus (3m=15) and (m=5).
Step 3
Exam Tip
बिंदु रखने पर (9=3m-6) मिलता है। इससे (3m=15) और (m=5) है।
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यदि (y=4x+c) रेखा ( (5,11) ) से गुजरती है तो (y)-अवरोध क्या है?
If the line (y=4x+c) passes through ( (5,11) ), what is the (y)-intercept?
#find_intercept
#point_given
#linear_form
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A (9)
B (-9)
C (31)
D (-31)
Explanation opens after your attempt
Step 1
Concept
Substituting the point gives (11=4(5)+c). Therefore (c=-9) is the (y)-intercept.
Step 2
Why this answer is correct
The correct answer is B. (-9). Substituting the point gives (11=4(5)+c). Therefore (c=-9) is the (y)-intercept.
Step 3
Exam Tip
बिंदु रखने पर (11=4(5)+c) मिलता है। इसलिए (c=-9) (y)-अवरोध है।
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कौन सी रेखा (x=0) पर (y=15) देती है और ढाल (-3) रखती है?
Which line gives (y=15) at (x=0) and has slope (-3)?
#equation_selection
#negative_slope
#intercept
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A (y=3x+15)
B (y=-3x+15)
C (y=15x-3)
D (y=-15x+3)
Explanation opens after your attempt
Correct Answer
B. (y=-3x+15)
Step 1
Concept
At (x=0), (y=15) gives (c=15). With slope (-3), (y=-3x+15) is correct.
Step 2
Why this answer is correct
The correct answer is B. (y=-3x+15). At (x=0), (y=15) gives (c=15). With slope (-3), (y=-3x+15) is correct.
Step 3
Exam Tip
(x=0) पर (y=15) से (c=15) मिलता है। ढाल (-3) होने से (y=-3x+15) सही है।
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कौन सी रेखा (x=0) पर (y=-10) देती है और ढाल (8) रखती है?
Which line gives (y=-10) at (x=0) and has slope (8)?
#equation_selection
#positive_slope
#negative_intercept
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A (y=8x-10)
B (y=-10x+8)
C (y=-8x-10)
D (y=8x+10)
Explanation opens after your attempt
Correct Answer
A. (y=8x-10)
Step 1
Concept
(y=-10) at (x=0) means (c=-10). With slope (8), the line is (y=8x-10).
Step 2
Why this answer is correct
The correct answer is A. (y=8x-10). (y=-10) at (x=0) means (c=-10). With slope (8), the line is (y=8x-10).
Step 3
Exam Tip
(x=0) पर (y=-10) का अर्थ (c=-10) है। ढाल (8) से रेखा (y=8x-10) है।
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रेखा (y=10x+3) और (y=-10x+3) के बारे में सही कथन क्या है?
Which statement about (y=10x+3) and (y=-10x+3) is correct?
#compare_slope_intercept
#constant_term
#linear_lines
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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 (10) and (-10), but the constant term (3) is the same. So the (y)-intercepts are the same.
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 (10) and (-10), but the constant term (3) is the same. So the (y)-intercepts are the same.
Step 3
Exam Tip
ढालें (10) और (-10) हैं लेकिन स्थिर पद (3) समान है। इसलिए (y)-अवरोध समान हैं।
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रेखा (y=-5x+14) और (y=-5x-4) के बारे में सही कथन क्या है?
Which statement about (y=-5x+14) and (y=-5x-4) 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 (-5) of (x). The constant terms (14) and (-4) 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 (-5) of (x). The constant terms (14) and (-4) are different.
Step 3
Exam Tip
दोनों में (x) का गुणांक (-5) है। स्थिर पद (14) और (-4) अलग हैं।
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रेखा (y=13x-6) में ढाल का चिन्ह और (y)-अवरोध का चिन्ह क्या है?
What are the signs of the slope and the (y)-intercept in the line (y=13x-6)?
#sign_analysis
#slope
#intercept
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A ढाल धनात्मक और (y)-अवरोध ऋणात्मक / Slope positive and (y)-intercept negative
B ढाल ऋणात्मक और (y)-अवरोध धनात्मक / Slope negative and (y)-intercept positive
C दोनों धनात्मक / Both positive
D दोनों ऋणात्मक / Both negative
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Correct Answer
A. ढाल धनात्मक और (y)-अवरोध ऋणात्मक / Slope positive and (y)-intercept negative
Step 1
Concept
The slope is (13), which is positive, and the constant term (-6) is negative. Check the signs separately.
Step 2
Why this answer is correct
The correct answer is A. ढाल धनात्मक और (y)-अवरोध ऋणात्मक / Slope positive and (y)-intercept negative. The slope is (13), which is positive, and the constant term (-6) is negative. Check the signs separately.
Step 3
Exam Tip
ढाल (13) है जो धनात्मक है और स्थिर पद (-6) ऋणात्मक है। संकेत अलग-अलग देखें।
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रेखा (y=-9x+11) में ढाल का चिन्ह और (y)-अवरोध का चिन्ह क्या है?
What are the signs of the slope and the (y)-intercept in the line (y=-9x+11)?
#sign_analysis
#negative_slope
#positive_intercept
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A दोनों धनात्मक / Both positive
B ढाल ऋणात्मक और (y)-अवरोध धनात्मक / Slope negative and (y)-intercept positive
C ढाल धनात्मक और (y)-अवरोध ऋणात्मक / Slope positive and (y)-intercept negative
D दोनों शून्य / Both zero
Explanation opens after your attempt
Correct Answer
B. ढाल ऋणात्मक और (y)-अवरोध धनात्मक / Slope negative and (y)-intercept positive
Step 1
Concept
The slope (-9) is negative and the (y)-intercept (11) is positive. Identify the coefficient of (x) and the constant term.
Step 2
Why this answer is correct
The correct answer is B. ढाल ऋणात्मक और (y)-अवरोध धनात्मक / Slope negative and (y)-intercept positive. The slope (-9) is negative and the (y)-intercept (11) is positive. Identify the coefficient of (x) and the constant term.
Step 3
Exam Tip
ढाल (-9) ऋणात्मक है और (y)-अवरोध (11) धनात्मक है। (x) के गुणांक और स्थिर पद को पहचानें।
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यदि (y=4x+c) का (y)-अवरोध (3) है तो (x=5) पर (y) क्या होगा?
If (y=4x+c) has (y)-intercept (3), what will (y) be at (x=5)?
#evaluate_line
#intercept_given
#slope
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A (18)
B (20)
C (23)
D (25)
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Step 1
Concept
The (y)-intercept (3) gives (c=3). Putting (x=5), (y=4(5)+3=23).
Step 2
Why this answer is correct
The correct answer is C. (23). The (y)-intercept (3) gives (c=3). Putting (x=5), (y=4(5)+3=23).
Step 3
Exam Tip
(y)-अवरोध (3) से (c=3) है। (x=5) रखने पर (y=4(5)+3=23) है।
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यदि (y=mx-7) की ढाल (5) है तो (x=4) पर (y) क्या होगा?
If (y=mx-7) has slope (5), what will (y) be at (x=4)?
#evaluate_line
#slope_given
#substitution
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A (10)
B (13)
C (15)
D (20)
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Step 1
Concept
Slope (5) gives (m=5). Putting (x=4), (y=5(4)-7=13).
Step 2
Why this answer is correct
The correct answer is B. (13). Slope (5) gives (m=5). Putting (x=4), (y=5(4)-7=13).
Step 3
Exam Tip
ढाल (5) से (m=5) है। (x=4) रखने पर (y=5(4)-7=13) मिलता है।
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रेखा (y=-6x+18) में (x) (2) से (6) तक बढ़े तो (y) में कुल परिवर्तन क्या होगा?
In the line (y=-6x+18), what is the total change in (y) when (x) increases from (2) to (6)?
#total_change
#negative_slope
#rate_of_change
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A (24) बढ़ेगा / Increases by (24)
B (18) घटेगा / Decreases by (18)
C (24) घटेगा / Decreases by (24)
D (6) घटेगा / Decreases by (6)
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Correct Answer
C. (24) घटेगा / Decreases by (24)
Step 1
Concept
The change in (x) is (6-2=4). The change in (y) is \(-6\times4=-24\).
Step 2
Why this answer is correct
The correct answer is C. (24) घटेगा / Decreases by (24). The change in (x) is (6-2=4). The change in (y) is \(-6\times4=-24\).
Step 3
Exam Tip
(x) में परिवर्तन (6-2=4) है। (y) का परिवर्तन \(-6\times4=-24\) है।
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रेखा \(y=\frac{5}{4}x-2\) में (x) के (12) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{5}{4}x-2\), how much will (y) increase when (x) increases by (12)?
#fraction_slope
#rate_of_change
#total_change
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A (12)
B (15)
C (20)
D (5)
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Step 1
Concept
The slope is \(\frac{5}{4}\). The change will be \(\frac{5}{4}\times12=15\).
Step 2
Why this answer is correct
The correct answer is B. (15). The slope is \(\frac{5}{4}\). The change will be \(\frac{5}{4}\times12=15\).
Step 3
Exam Tip
ढाल \(\frac{5}{4}\) है। परिवर्तन \(\frac{5}{4}\times12=15\) होगा।
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यदि (y=-2x+c) का (y)-अवरोध (7) है तो (x=6) पर (y) क्या होगा?
If (y=-2x+c) has (y)-intercept (7), what will (y) be at (x=6)?
#evaluate_line
#intercept_given
#negative_slope
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A (5)
B (-5)
C (19)
D (-19)
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Step 1
Concept
The (y)-intercept (7) gives (c=7). Putting (x=6), (y=-2(6)+7=-5).
Step 2
Why this answer is correct
The correct answer is B. (-5). The (y)-intercept (7) gives (c=7). Putting (x=6), (y=-2(6)+7=-5).
Step 3
Exam Tip
(y)-अवरोध (7) से (c=7) है। (x=6) रखने पर (y=-2(6)+7=-5) है।
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