रेखा (y=4x+3) की ढाल क्या है?
What is the slope of the line (y=4x+3)?
#slope
#linear_equation
#coefficient
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A (4)
B (3)
C (7)
D (1)
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Explanation
Simple Explanation
(y=mx+c) में (m) ढाल होता है। यहां (m=4) है। / In (y=mx+c), (m) is the slope. Here (m=4).
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रेखा (y=5x-6) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=5x-6)?
#y_intercept
#constant_term
#linear_equation
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A (5)
B (-6)
C (6)
D (-5)
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Explanation
Simple Explanation
(y=mx+c) में (c) (y)-अवरोध होता है। यहां (c=-6) है। / In (y=mx+c), (c) is the (y)-intercept. Here (c=-6).
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रेखा (y=-3x+8) की ढाल क्या है?
What is the slope of the line (y=-3x+8)?
#slope
#negative_slope
#coefficient
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A (8)
B (3)
C (-3)
D (-8)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक (-3) है। / The slope equals the coefficient of (x). Here the coefficient is (-3).
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रेखा (y=11-4x) की ढाल क्या है?
What is the slope of the line (y=11-4x)?
#slope
#rearranged_form
#negative_slope
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A (11)
B (4)
C (15)
D (-4)
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Explanation
Simple Explanation
इसे (y=-4x+11) लिखा जा सकता है। इसलिए ढाल (-4) है। / It can be written as (y=-4x+11). Therefore the slope is (-4).
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रेखा (y=2x+9) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=2x+9)?
#y_intercept
#value_at_zero
#graph
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A (9)
B (2)
C (11)
D (0)
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Explanation
Simple Explanation
(x=0) रखने पर (y=9) मिलता है। इसलिए (y)-अवरोध (9) है। / Putting (x=0) gives (y=9). Therefore the (y)-intercept is (9).
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रेखा (y=-7x+1) की ढाल क्या है?
What is the slope of the line (y=-7x+1)?
#slope
#coefficient
#negative_slope
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A (1)
B (-7)
C (7)
D (-1)
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Explanation
Simple Explanation
(x) का गुणांक (-7) है। यही रेखा की ढाल है। / The coefficient of (x) is (-7). This is the slope of the line.
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रेखा (y=0x+14) की ढाल क्या है?
What is the slope of the line (y=0x+14)?
#zero_slope
#coefficient
#horizontal_line
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A (14)
B (1)
C (-14)
D (0)
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Explanation
Simple Explanation
(x) का गुणांक (0) है। इसलिए रेखा की ढाल (0) है। / The coefficient of (x) is (0). Therefore the slope of the line is (0).
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रूप (y=mx+c) में ढाल किससे पहचानी जाती है?
In the form (y=mx+c), how is the slope identified?
#slope_intercept_form
#slope
#concept
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A (x) के गुणांक (m) से / By the coefficient (m) of (x)
B स्थिर पद (c) से / By the constant term (c)
C (y) के मान से / By the value of (y)
D मूल से / By the zero
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Correct Answer
A. (x) के गुणांक (m) से / By the coefficient (m) of (x)
Explanation
Simple Explanation
ढाल (x) के गुणांक से मिलती है। परीक्षा में (m) को सीधे पहचानें। / The slope is found from the coefficient of (x). In exams, identify (m) directly.
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रूप (y=mx+c) में (y)-अवरोध किससे पहचाना जाता है?
In the form (y=mx+c), how is the (y)-intercept identified?
#slope_intercept_form
#y_intercept
#constant_term
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A ढाल (m) से / By slope (m)
B स्थिर पद (c) से / By constant term (c)
C चर (x) से / By variable (x)
D घात से / By power
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Correct Answer
B. स्थिर पद (c) से / By constant term (c)
Explanation
Simple Explanation
(y)-अवरोध स्थिर पद (c) होता है। यह (x=0) पर (y) का मान देता है। / The (y)-intercept is the constant term (c). It gives the value of (y) at (x=0).
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ढाल (5) और (y)-अवरोध (2) वाली रेखा कौन सी है?
Which line has slope (5) and (y)-intercept (2)?
#slope
#y_intercept
#model_selection
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A (y=2x+5)
B (y=5x-2)
C (y=5x+2)
D (y=-5x+2)
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Correct Answer
C. (y=5x+2)
Explanation
Simple Explanation
ढाल (5) के लिए (x) का गुणांक (5) चाहिए। (y)-अवरोध (2) होने से (y=5x+2) सही है। / For slope (5), the coefficient of (x) must be (5). With (y)-intercept (2), (y=5x+2) is correct.
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ढाल (-2) और (y)-अवरोध (4) वाली रेखा कौन सी है?
Which line has slope (-2) and (y)-intercept (4)?
#negative_slope
#y_intercept
#model_selection
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A (y=2x+4)
B (y=4x-2)
C (y=-4x+2)
D (y=-2x+4)
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Correct Answer
D. (y=-2x+4)
Explanation
Simple Explanation
ढाल (-2) और स्थिर पद (4) चाहिए। इसलिए सही समीकरण (y=-2x+4) है। / We need slope (-2) and constant term (4). Therefore the correct equation is (y=-2x+4).
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रेखा (y=9x+0) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=9x+0)?
#y_intercept
#origin
#constant_term
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A (0)
B (9)
C (-9)
D (1)
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Explanation
Simple Explanation
स्थिर पद (0) है। इसलिए रेखा मूल बिंदु से गुजरती है। / The constant term is (0). Therefore the line passes through the origin.
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रेखा (y=-10x-3) की ढाल क्या है?
What is the slope of the line (y=-10x-3)?
#slope
#negative_slope
#coefficient
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A (3)
B (-10)
C (-3)
D (10)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां (x) का गुणांक (-10) है। / The slope equals the coefficient of (x). Here the coefficient of (x) is (-10).
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रेखा (y=15+6x) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=15+6x)?
#y_intercept
#rearranged_form
#constant_term
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A (6)
B (21)
C (15)
D (9)
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Explanation
Simple Explanation
इसे (y=6x+15) लिखा जा सकता है। स्थिर पद (15) है। / It can be written as (y=6x+15). The constant term is (15).
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रेखा (y=20-5x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=20-5x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (20), (y)-अवरोध (-5) / Slope (20), (y)-intercept (-5)
B ढाल (5), (y)-अवरोध (20) / Slope (5), (y)-intercept (20)
C ढाल (-20), (y)-अवरोध (5) / Slope (-20), (y)-intercept (5)
D ढाल (-5), (y)-अवरोध (20) / Slope (-5), (y)-intercept (20)
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Correct Answer
D. ढाल (-5), (y)-अवरोध (20) / Slope (-5), (y)-intercept (20)
Explanation
Simple Explanation
इसे (y=-5x+20) लिखें। इसलिए ढाल (-5) और (y)-अवरोध (20) है। / Write it as (y=-5x+20). Therefore the slope is (-5) and the (y)-intercept is (20).
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रेखा (y=3x-8) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=3x-8), what are the slope and (y)-intercept?
#slope
#y_intercept
#identify_both
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A ढाल (3), (y)-अवरोध (-8) / Slope (3), (y)-intercept (-8)
B ढाल (-8), (y)-अवरोध (3) / Slope (-8), (y)-intercept (3)
C ढाल (8), (y)-अवरोध (3) / Slope (8), (y)-intercept (3)
D ढाल (-3), (y)-अवरोध (8) / Slope (-3), (y)-intercept (8)
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Correct Answer
A. ढाल (3), (y)-अवरोध (-8) / Slope (3), (y)-intercept (-8)
Explanation
Simple Explanation
(y=mx+c) से (m=3) और (c=-8) है। यही ढाल और (y)-अवरोध हैं। / From (y=mx+c), (m=3) and (c=-8). These are the slope and the (y)-intercept.
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रेखा (y=-x+12) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=-x+12), what are the slope and (y)-intercept?
#negative_slope
#y_intercept
#identify_both
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A ढाल (12), (y)-अवरोध (-1) / Slope (12), (y)-intercept (-1)
B ढाल (-1), (y)-अवरोध (12) / Slope (-1), (y)-intercept (12)
C ढाल (1), (y)-अवरोध (12) / Slope (1), (y)-intercept (12)
D ढाल (-12), (y)-अवरोध (1) / Slope (-12), (y)-intercept (1)
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Correct Answer
B. ढाल (-1), (y)-अवरोध (12) / Slope (-1), (y)-intercept (12)
Explanation
Simple Explanation
(-x) का गुणांक (-1) है और स्थिर पद (12) है। इसलिए ढाल (-1) और (y)-अवरोध (12) है। / The coefficient of (-x) is (-1), and the constant term is (12). So the slope is (-1) and the (y)-intercept is (12).
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रेखा \(y=\frac{2}{3}x+5\) की ढाल क्या है?
What is the slope of the line \(y=\frac{2}{3}x+5\)?
#slope
#fraction_slope
#coefficient
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A (5)
B (3)
C \(\frac{2}{3}\)
D \(\frac{5}{3}\)
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Correct Answer
C. \(\frac{2}{3}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(\frac{2}{3}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(\frac{2}{3}\).
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रेखा \(y=-\frac{5}{6}x-2\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=-\frac{5}{6}x-2\)?
#y_intercept
#fraction_slope
#constant_term
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A \(-\frac{5}{6}\)
B (-2)
C \(\frac{5}{6}\)
D (2)
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Explanation
Simple Explanation
स्थिर पद (-2) है। इसलिए (y)-अवरोध (-2) है। / The constant term is (-2). Therefore the (y)-intercept is (-2).
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धनात्मक ढाल वाली रेखा का ग्राफ सामान्यतः कैसा दिखता है?
How does the graph of a line with positive slope generally look?
#positive_slope
#graph_behavior
#slope
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A बाएं से दाएं ऊपर जाता है / Goes upward from left to right
B बाएं से दाएं नीचे जाता है / Goes downward from left to right
C सदैव क्षैतिज होता है / Is always horizontal
D सदैव लंबवत होता है / Is always vertical
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Correct Answer
A. बाएं से दाएं ऊपर जाता है / Goes upward from left to right
Explanation
Simple Explanation
धनात्मक ढाल में (x) बढ़ने पर (y) बढ़ता है। इसलिए रेखा ऊपर की ओर जाती है। / With positive slope, (y) increases as (x) increases. So the line goes upward.
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ऋणात्मक ढाल वाली रेखा का ग्राफ सामान्यतः कैसा दिखता है?
How does the graph of a line with negative slope generally look?
#negative_slope
#graph_behavior
#slope
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A बाएं से दाएं ऊपर जाता है / Goes upward from left to right
B बाएं से दाएं नीचे जाता है / Goes downward from left to right
C सदैव ऊपर वक्र होता है / Is always an upward curve
D सदैव मूल से गुजरता है / Always passes through origin
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Correct Answer
B. बाएं से दाएं नीचे जाता है / Goes downward from left to right
Explanation
Simple Explanation
ऋणात्मक ढाल में (x) बढ़ने पर (y) घटता है। इसलिए रेखा नीचे की ओर जाती है। / With negative slope, (y) decreases as (x) increases. So the line goes downward.
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ढाल (0) वाली रेखा कौन सी हो सकती है?
Which line can have slope (0)?
#zero_slope
#horizontal_line
#identify_rule
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A (y=2x+1)
B (y=-3x+5)
C (y=7)
D (y=x-7)
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Explanation
Simple Explanation
ढाल (0) होने पर (y) स्थिर रहता है। (y=7) एक क्षैतिज रेखा है। / When the slope is (0), (y) remains constant. (y=7) is a horizontal line.
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कौन सी रेखा मूल बिंदु ((0,0)) से गुजरती है?
Which line passes through the origin ((0,0))?
#origin
#y_intercept
#linear_graph
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A (y=5x+1)
B (y=-2x+3)
C (y=x-4)
D (y=6x)
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Explanation
Simple Explanation
मूल बिंदु से गुजरने के लिए (y)-अवरोध (0) होना चाहिए। (y=6x) में स्थिर पद (0) है। / To pass through the origin, the (y)-intercept must be (0). In (y=6x), the constant term is (0).
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रेखा (y=4x+10) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=4x+10) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#graph
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A ( (0,10) )
B ( (10,0) )
C ( (0,4) )
D ( (4,10) )
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Correct Answer
A. ( (0,10) )
Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। इसलिए बिंदु ( (0,10) ) है। / On the (y)-axis, (x=0). Therefore the point is ( (0,10) ).
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रेखा (y=-5x+7) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=-5x+7) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#negative_slope
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A ( (7,0) )
B ( (0,7) )
C ( (0,-5) )
D ( (-5,7) )
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Correct Answer
B. ( (0,7) )
Explanation
Simple Explanation
(x=0) रखने पर (y=7) मिलता है। इसलिए (y)-अक्ष पर बिंदु ( (0,7) ) है। / Putting (x=0) gives (y=7). So the point on the (y)-axis is ( (0,7) ).
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रेखा (y=8x+6) में (x) के (1) बढ़ने पर (y) कितना बढ़ता है?
In the line (y=8x+6), by how much does (y) increase when (x) increases by (1)?
#slope
#rate_of_change
#unit_increase
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A (6)
B (14)
C (8)
D (1)
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Explanation
Simple Explanation
ढाल (8) है। इसका अर्थ है कि (x) के (1) बढ़ने पर (y) (8) बढ़ता है। / The slope is (8). It means (y) increases by (8) when (x) increases by (1).
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रेखा (y=-6x+13) में (x) के (1) बढ़ने पर (y) में क्या परिवर्तन होता है?
In the line (y=-6x+13), what change occurs in (y) when (x) increases by (1)?
#negative_slope
#rate_of_change
#unit_change
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A (6) बढ़ता है / Increases by (6)
B (13) बढ़ता है / Increases by (13)
C (13) घटता है / Decreases by (13)
D (6) घटता है / Decreases by (6)
Explanation opens after your attempt
Correct Answer
D. (6) घटता है / Decreases by (6)
Explanation
Simple Explanation
ढाल (-6) है। इसलिए (x) के (1) बढ़ने पर (y) (6) घटता है। / The slope is (-6). So when (x) increases by (1), (y) decreases by (6).
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रेखा (y=7x-11) में स्थिर पद क्या है?
What is the constant term in the line (y=7x-11)?
#constant_term
#y_intercept
#slope_intercept_form
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A (7)
B (11)
C (-11)
D (-7)
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Explanation
Simple Explanation
स्थिर पद वह भाग है जिसमें (x) नहीं होता। यहां स्थिर पद (-11) है। / The constant term is the part without (x). Here the constant term is (-11).
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रेखा (y=-9x+16) में (x) का गुणांक क्या है?
What is the coefficient of (x) in the line (y=-9x+16)?
#coefficient
#slope
#negative_slope
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A (16)
B (9)
C (-16)
D (-9)
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Explanation
Simple Explanation
(x) का गुणांक (-9) है। यही रेखा की ढाल भी है। / The coefficient of (x) is (-9). This is also the slope of the line.
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कौन सी रेखा (y)-अवरोध (-3) रखती है?
Which line has (y)-intercept (-3)?
#y_intercept
#identify_rule
#constant_term
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A (y=3x+2)
B (y=2x-3)
C (y=-3x+2)
D (y=2x+3)
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Correct Answer
B. (y=2x-3)
Explanation
Simple Explanation
(y)-अवरोध स्थिर पद होता है। (y=2x-3) में स्थिर पद (-3) है। / The (y)-intercept is the constant term. In (y=2x-3), the constant term is (-3).
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कौन सी रेखा ढाल (6) रखती है?
Which line has slope (6)?
#slope
#identify_rule
#positive_slope
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A (y=-6x+1)
B (y=x+6)
C (y=6x-4)
D (y=4x+6)
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Correct Answer
C. (y=6x-4)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। (y=6x-4) में गुणांक (6) है। / The slope equals the coefficient of (x). In (y=6x-4), the coefficient is (6).
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रेखा (y=18-7x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=18-7x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (18), (y)-अवरोध (-7) / Slope (18), (y)-intercept (-7)
B ढाल (7), (y)-अवरोध (18) / Slope (7), (y)-intercept (18)
C ढाल (-18), (y)-अवरोध (7) / Slope (-18), (y)-intercept (7)
D ढाल (-7), (y)-अवरोध (18) / Slope (-7), (y)-intercept (18)
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Correct Answer
D. ढाल (-7), (y)-अवरोध (18) / Slope (-7), (y)-intercept (18)
Explanation
Simple Explanation
इसे (y=-7x+18) लिखते हैं। इसलिए ढाल (-7) और (y)-अवरोध (18) है। / We write it as (y=-7x+18). Therefore the slope is (-7) and the (y)-intercept is (18).
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रेखा (y=5-8x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=5-8x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (-8), (y)-अवरोध (5) / Slope (-8), (y)-intercept (5)
B ढाल (5), (y)-अवरोध (-8) / Slope (5), (y)-intercept (-8)
C ढाल (8), (y)-अवरोध (5) / Slope (8), (y)-intercept (5)
D ढाल (-5), (y)-अवरोध (8) / Slope (-5), (y)-intercept (8)
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Correct Answer
A. ढाल (-8), (y)-अवरोध (5) / Slope (-8), (y)-intercept (5)
Explanation
Simple Explanation
(y=5-8x) को (y=-8x+5) लिखते हैं। इसलिए ढाल (-8) और (y)-अवरोध (5) है। / We write (y=5-8x) as (y=-8x+5). So the slope is (-8) and the (y)-intercept is (5).
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यदि रेखा (y=mx-4) है, तो (m) क्या बताता है?
If the line is (y=mx-4), what does (m) represent?
#slope_intercept_form
#slope
#concept
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A ढाल / Slope
B (y)-अवरोध / (y)-intercept
C स्थिर पद / Constant term
D घात / Power
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Correct Answer
A. ढाल / Slope
Explanation
Simple Explanation
रूप (y=mx+c) में (m) ढाल बताता है। यहां (-4) (y)-अवरोध है। / In the form (y=mx+c), (m) represents the slope. Here (-4) is the (y)-intercept.
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यदि रेखा (y=-3x+c) की ढाल (-3) है, तो (c) क्या बताता है?
If the line (y=-3x+c) has slope (-3), what does (c) represent?
#y_intercept
#slope_intercept_form
#concept
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A ढाल / Slope
B घात / Power
C (y)-अवरोध / (y)-intercept
D चर / Variable
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Correct Answer
C. (y)-अवरोध / (y)-intercept
Explanation
Simple Explanation
(c) स्थिर पद है। (x=0) पर यही (y)-अवरोध बनता है। / (c) is the constant term. At (x=0), it becomes the (y)-intercept.
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रेखा (y=-x-9) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=-x-9)?
#y_intercept
#negative_constant
#constant_term
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A (1)
B (9)
C (-1)
D (-9)
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Explanation
Simple Explanation
स्थिर पद (-9) है। इसलिए (y)-अवरोध (-9) है। / The constant term is (-9). Therefore the (y)-intercept is (-9).
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रेखा (y=15x+2) की ढाल क्या है?
What is the slope of the line (y=15x+2)?
#slope
#coefficient
#linear_graph
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A (15)
B (2)
C (17)
D (13)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक (15) है। / The slope equals the coefficient of (x). Here the coefficient is (15).
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रेखा (y=-12) की ढाल क्या है?
What is the slope of the line (y=-12)?
#zero_slope
#horizontal_line
#slope
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A (12)
B (0)
C (1)
D (-12)
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Explanation
Simple Explanation
(y=-12) एक क्षैतिज रेखा है। क्षैतिज रेखा की ढाल (0) होती है। / (y=-12) is a horizontal line. The slope of a horizontal line is (0).
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यदि रेखा (y=mx+c) (y)-अक्ष को ((0,4)) पर काटती है, तो (c) क्या है?
If the line (y=mx+c) cuts the (y)-axis at ((0,4)), what is (c)?
#y_intercept
#point_on_y_axis
#slope_intercept_form
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A (0)
B (m)
C (4)
D (-4)
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Explanation
Simple Explanation
(y)-अक्ष पर बिंदु का (y)-मान (y)-अवरोध होता है। इसलिए (c=4) है। / The (y)-value of the point on the (y)-axis is the (y)-intercept. Therefore (c=4).
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ढाल (7) और (y)-अवरोध (-1) वाली रेखा कौन सी है?
Which line has slope (7) and (y)-intercept (-1)?
#slope
#y_intercept
#model_selection
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A (y=7x-1)
B (y=-1x+7)
C (y=7x+1)
D (y=x-7)
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Correct Answer
A. (y=7x-1)
Explanation
Simple Explanation
ढाल (7) के लिए (x) का गुणांक (7) चाहिए। (y)-अवरोध (-1) से (y=7x-1) बनता है। / For slope (7), the coefficient of (x) must be (7). With (y)-intercept (-1), the line is (y=7x-1).
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ढाल (-4) और (y)-अवरोध (-6) वाली रेखा कौन सी है?
Which line has slope (-4) and (y)-intercept (-6)?
#negative_slope
#negative_intercept
#model_selection
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A (y=4x-6)
B (y=-4x-6)
C (y=-6x-4)
D (y=-4x+6)
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Correct Answer
B. (y=-4x-6)
Explanation
Simple Explanation
ढाल (-4) का अर्थ (x) का गुणांक (-4) है। (y)-अवरोध (-6) होने से (y=-4x-6) सही है। / Slope (-4) means the coefficient of (x) is (-4). With (y)-intercept (-6), (y=-4x-6) is correct.
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रेखा \(y=\frac{7}{2}x+1\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=\frac{7}{2}x+1\)?
#y_intercept
#fraction_slope
#constant_term
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A \(\frac{7}{2}\)
B (2)
C (1)
D (-1)
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Explanation
Simple Explanation
स्थिर पद (1) है। इसलिए (y)-अवरोध (1) है। / The constant term is (1). Therefore the (y)-intercept is (1).
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रेखा \(y=-\frac{4}{7}x+6\) की ढाल क्या है?
What is the slope of the line \(y=-\frac{4}{7}x+6\)?
#slope
#fraction_slope
#negative_slope
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A (6)
B \(-\frac{4}{7}\)
C \(\frac{4}{7}\)
D (-6)
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Correct Answer
B. \(-\frac{4}{7}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(-\frac{4}{7}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(-\frac{4}{7}\).
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रेखा (y=6x+18) (y)-अक्ष को किस (y)-मान पर काटती है?
At what (y)-value does the line (y=6x+18) cut the (y)-axis?
#y_intercept
#value_at_zero
#graph
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A (6)
B (12)
C (18)
D (24)
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Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। तब (y=18) मिलता है। / On the (y)-axis, (x=0). Then (y=18).
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रेखा (y=-8x+25) की ढाल का चिन्ह कैसा है?
What is the sign of the slope of the line (y=-8x+25)?
#negative_slope
#slope_sign
#coefficient
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A धनात्मक / Positive
B शून्य / Zero
C ऋणात्मक / Negative
D निर्धारित नहीं / Cannot be determined
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Correct Answer
C. ऋणात्मक / Negative
Explanation
Simple Explanation
ढाल (-8) है। इसलिए उसका चिन्ह ऋणात्मक है। / The slope is (-8). Therefore its sign is negative.
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रेखा (y=12x-5) की ढाल का चिन्ह कैसा है?
What is the sign of the slope of the line (y=12x-5)?
#positive_slope
#slope_sign
#coefficient
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A धनात्मक / Positive
B ऋणात्मक / Negative
C शून्य / Zero
D निर्धारित नहीं / Cannot be determined
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Correct Answer
A. धनात्मक / Positive
Explanation
Simple Explanation
ढाल (12) है। इसलिए उसका चिन्ह धनात्मक है। / The slope is (12). Therefore its sign is positive.
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रेखा (y=0x+3) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=0x+3), what are the slope and (y)-intercept?
#zero_slope
#y_intercept
#identify_both
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A ढाल (0), (y)-अवरोध (3) / Slope (0), (y)-intercept (3)
B ढाल (3), (y)-अवरोध (0) / Slope (3), (y)-intercept (0)
C ढाल (-3), (y)-अवरोध (0) / Slope (-3), (y)-intercept (0)
D ढाल (0), (y)-अवरोध (-3) / Slope (0), (y)-intercept (-3)
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Correct Answer
A. ढाल (0), (y)-अवरोध (3) / Slope (0), (y)-intercept (3)
Explanation
Simple Explanation
(x) का गुणांक (0) है और स्थिर पद (3) है। इसलिए ढाल (0) और (y)-अवरोध (3) है। / The coefficient of (x) is (0), and the constant term is (3). So the slope is (0) and the (y)-intercept is (3).
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रेखा (y=17-6x) में (x) का गुणांक और स्थिर पद कौन से हैं?
In the line (y=17-6x), what are the coefficient of (x) and the constant term?
#coefficient
#constant_term
#rearranged_form
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A गुणांक (17), स्थिर पद (-6) / Coefficient (17), constant term (-6)
B गुणांक (6), स्थिर पद (17) / Coefficient (6), constant term (17)
C गुणांक (-6), स्थिर पद (17) / Coefficient (-6), constant term (17)
D गुणांक (-17), स्थिर पद (6) / Coefficient (-17), constant term (6)
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Correct Answer
C. गुणांक (-6), स्थिर पद (17) / Coefficient (-6), constant term (17)
Explanation
Simple Explanation
इसे (y=-6x+17) लिखते हैं। इसलिए (x) का गुणांक (-6) और स्थिर पद (17) है। / We write it as (y=-6x+17). Therefore the coefficient of (x) is (-6), and the constant term is (17).
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रेखा (y=9-3x) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=9-3x) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#rearranged_form
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A ( (0,9) )
B ( (9,0) )
C ( (0,-3) )
D ( (-3,9) )
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Correct Answer
A. ( (0,9) )
Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। इसलिए बिंदु ( (0,9) ) है। / On the (y)-axis, (x=0). Therefore the point is ( (0,9) ).
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रेखा (y=-11x+4) में (x) के (1) बढ़ने पर (y) में क्या परिवर्तन होता है?
In the line (y=-11x+4), what change occurs in (y) when (x) increases by (1)?
#negative_slope
#rate_of_change
#unit_change
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A (11) बढ़ता है / Increases by (11)
B (4) बढ़ता है / Increases by (4)
C (4) घटता है / Decreases by (4)
D (11) घटता है / Decreases by (11)
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Correct Answer
D. (11) घटता है / Decreases by (11)
Explanation
Simple Explanation
ढाल (-11) है। इसलिए (x) के (1) बढ़ने पर (y) (11) घटता है। / The slope is (-11). So when (x) increases by (1), (y) decreases by (11).
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