रेखा (y=6x+2) की ढाल क्या है?
What is the slope of the line (y=6x+2)?
#slope
#coefficient
#linear_equation
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A (6)
B (2)
C (8)
D (0)
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Explanation
Simple Explanation
(y=mx+c) में (m) ढाल होता है। यहां (m=6) है। / In (y=mx+c), (m) is the slope. Here (m=6).
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रेखा (y=7x-5) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=7x-5)?
#y_intercept
#constant_term
#linear_equation
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A (7)
B (-5)
C (5)
D (-7)
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Explanation
Simple Explanation
(y=mx+c) में (c) (y)-अवरोध होता है। यहां (c=-5) है। / In (y=mx+c), (c) is the (y)-intercept. Here (c=-5).
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रेखा (y=-4x+9) की ढाल क्या है?
What is the slope of the line (y=-4x+9)?
#slope
#negative_slope
#coefficient
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A (9)
B (4)
C (-4)
D (-9)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक (-4) है। / The slope equals the coefficient of (x). Here the coefficient is (-4).
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रेखा (y=13-5x) की ढाल क्या है?
What is the slope of the line (y=13-5x)?
#slope
#rearranged_form
#negative_slope
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A (13)
B (5)
C (18)
D (-5)
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Explanation
Simple Explanation
इसे (y=-5x+13) लिखा जा सकता है। इसलिए ढाल (-5) है। / It can be written as (y=-5x+13). Therefore the slope is (-5).
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रेखा (y=3x+11) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=3x+11)?
#y_intercept
#value_at_zero
#graph
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A (11)
B (3)
C (14)
D (0)
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Explanation
Simple Explanation
(x=0) रखने पर (y=11) मिलता है। इसलिए (y)-अवरोध (11) है। / Putting (x=0) gives (y=11). Therefore the (y)-intercept is (11).
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रेखा (y=-9x+4) की ढाल क्या है?
What is the slope of the line (y=-9x+4)?
#slope
#coefficient
#negative_slope
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A (4)
B (-9)
C (9)
D (-4)
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Explanation
Simple Explanation
(x) का गुणांक (-9) है। यही रेखा की ढाल है। / The coefficient of (x) is (-9). This is the slope of the line.
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रेखा (y=8) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=8)?
#y_intercept
#constant_line
#horizontal_line
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A (0)
B (-8)
C (8)
D (1)
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Explanation
Simple Explanation
(y=8) में (x=0) पर भी (y=8) रहता है। इसलिए (y)-अवरोध (8) है। / In (y=8), even at (x=0), (y=8). Therefore the (y)-intercept is (8).
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रेखा (y=0x+17) की ढाल क्या है?
What is the slope of the line (y=0x+17)?
#zero_slope
#coefficient
#horizontal_line
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A (17)
B (1)
C (-17)
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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ढाल (8) और (y)-अवरोध (3) वाली रेखा कौन सी है?
Which line has slope (8) and (y)-intercept (3)?
#slope
#y_intercept
#model_selection
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A (y=3x+8)
B (y=8x-3)
C (y=8x+3)
D (y=-8x+3)
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Correct Answer
C. (y=8x+3)
Explanation
Simple Explanation
ढाल (8) के लिए (x) का गुणांक (8) चाहिए। (y)-अवरोध (3) होने से (y=8x+3) सही है। / For slope (8), the coefficient of (x) must be (8). With (y)-intercept (3), (y=8x+3) is correct.
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ढाल (-5) और (y)-अवरोध (6) वाली रेखा कौन सी है?
Which line has slope (-5) and (y)-intercept (6)?
#negative_slope
#y_intercept
#model_selection
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A (y=5x+6)
B (y=6x-5)
C (y=-6x+5)
D (y=-5x+6)
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Correct Answer
D. (y=-5x+6)
Explanation
Simple Explanation
ढाल (-5) और स्थिर पद (6) चाहिए। इसलिए सही रेखा (y=-5x+6) है। / We need slope (-5) and constant term (6). Therefore the correct line is (y=-5x+6).
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रेखा (y=12x+0) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=12x+0)?
#y_intercept
#origin
#constant_term
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A (0)
B (12)
C (-12)
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=-11x-2) की ढाल क्या है?
What is the slope of the line (y=-11x-2)?
#slope
#negative_slope
#coefficient
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A (2)
B (-11)
C (-2)
D (11)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां (x) का गुणांक (-11) है। / The slope equals the coefficient of (x). Here the coefficient of (x) is (-11).
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रेखा (y=19+7x) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=19+7x)?
#y_intercept
#rearranged_form
#constant_term
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A (7)
B (26)
C (19)
D (12)
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Explanation
Simple Explanation
इसे (y=7x+19) लिखा जा सकता है। स्थिर पद (19) है। / It can be written as (y=7x+19). The constant term is (19).
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रेखा (y=24-6x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=24-6x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (24), (y)-अवरोध (-6) / Slope (24), (y)-intercept (-6)
B ढाल (6), (y)-अवरोध (24) / Slope (6), (y)-intercept (24)
C ढाल (-24), (y)-अवरोध (6) / Slope (-24), (y)-intercept (6)
D ढाल (-6), (y)-अवरोध (24) / Slope (-6), (y)-intercept (24)
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Correct Answer
D. ढाल (-6), (y)-अवरोध (24) / Slope (-6), (y)-intercept (24)
Explanation
Simple Explanation
इसे (y=-6x+24) लिखें। इसलिए ढाल (-6) और (y)-अवरोध (24) है। / Write it as (y=-6x+24). Therefore the slope is (-6) and the (y)-intercept is (24).
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रेखा (y=4x-10) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=4x-10), what are the slope and (y)-intercept?
#slope
#y_intercept
#identify_both
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A ढाल (4), (y)-अवरोध (-10) / Slope (4), (y)-intercept (-10)
B ढाल (-10), (y)-अवरोध (4) / Slope (-10), (y)-intercept (4)
C ढाल (10), (y)-अवरोध (4) / Slope (10), (y)-intercept (4)
D ढाल (-4), (y)-अवरोध (10) / Slope (-4), (y)-intercept (10)
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Correct Answer
A. ढाल (4), (y)-अवरोध (-10) / Slope (4), (y)-intercept (-10)
Explanation
Simple Explanation
(y=mx+c) से (m=4) और (c=-10) है। यही ढाल और (y)-अवरोध हैं। / From (y=mx+c), (m=4) and (c=-10). These are the slope and the (y)-intercept.
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रेखा (y=-x+15) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=-x+15), what are the slope and (y)-intercept?
#negative_slope
#y_intercept
#identify_both
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A ढाल (15), (y)-अवरोध (-1) / Slope (15), (y)-intercept (-1)
B ढाल (-1), (y)-अवरोध (15) / Slope (-1), (y)-intercept (15)
C ढाल (1), (y)-अवरोध (15) / Slope (1), (y)-intercept (15)
D ढाल (-15), (y)-अवरोध (1) / Slope (-15), (y)-intercept (1)
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Correct Answer
B. ढाल (-1), (y)-अवरोध (15) / Slope (-1), (y)-intercept (15)
Explanation
Simple Explanation
(-x) का गुणांक (-1) है और स्थिर पद (15) है। इसलिए ढाल (-1) और (y)-अवरोध (15) है। / The coefficient of (-x) is (-1), and the constant term is (15). So the slope is (-1) and the (y)-intercept is (15).
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रेखा \(y=\frac{3}{5}x+7\) की ढाल क्या है?
What is the slope of the line \(y=\frac{3}{5}x+7\)?
#slope
#fraction_slope
#coefficient
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A (7)
B (5)
C \(\frac{3}{5}\)
D \(\frac{7}{5}\)
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Correct Answer
C. \(\frac{3}{5}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(\frac{3}{5}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(\frac{3}{5}\).
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रेखा \(y=-\frac{7}{8}x-4\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=-\frac{7}{8}x-4\)?
#y_intercept
#fraction_slope
#constant_term
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A \(-\frac{7}{8}\)
B (-4)
C \(\frac{7}{8}\)
D (4)
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Explanation
Simple Explanation
स्थिर पद (-4) है। इसलिए (y)-अवरोध (-4) है। / The constant term is (-4). Therefore the (y)-intercept is (-4).
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धनात्मक ढाल वाली रेखा में (x) बढ़ने पर (y) सामान्यतः क्या करता है?
In a line with positive slope, what does (y) generally do when (x) increases?
#positive_slope
#graph_behavior
#slope
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A बढ़ता है / Increases
B घटता है / Decreases
C सदैव (0) रहता है / Always remains (0)
D घात बन जाता है / Becomes a power
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Correct Answer
A. बढ़ता है / Increases
Explanation
Simple Explanation
धनात्मक ढाल में (x) बढ़ने पर (y) बढ़ता है। यह बढ़ती हुई रेखा दिखाता है। / With positive slope, (y) increases as (x) increases. It shows an increasing line.
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ऋणात्मक ढाल वाली रेखा में (x) बढ़ने पर (y) सामान्यतः क्या करता है?
In a line with negative slope, what does (y) generally do when (x) increases?
#negative_slope
#graph_behavior
#slope
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A बढ़ता है / Increases
B घटता है / Decreases
C सदैव समान रहता है / Always remains same
D सदैव धनात्मक रहता है / Always remains positive
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Correct Answer
B. घटता है / Decreases
Explanation
Simple Explanation
ऋणात्मक ढाल में (x) बढ़ने पर (y) घटता है। यह घटती हुई रेखा दिखाता है। / With negative slope, (y) decreases as (x) increases. It shows a decreasing line.
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रेखा (y=5x+12) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=5x+12) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#graph
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A ( (0,12) )
B ( (12,0) )
C ( (0,5) )
D ( (5,12) )
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Correct Answer
A. ( (0,12) )
Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। इसलिए बिंदु ( (0,12) ) है। / On the (y)-axis, (x=0). Therefore the point is ( (0,12) ).
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रेखा (y=-7x+10) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=-7x+10) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#negative_slope
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A ( (10,0) )
B ( (0,10) )
C ( (0,-7) )
D ( (-7,10) )
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Correct Answer
B. ( (0,10) )
Explanation
Simple Explanation
(x=0) रखने पर (y=10) मिलता है। इसलिए (y)-अक्ष पर बिंदु ( (0,10) ) है। / Putting (x=0) gives (y=10). So the point on the (y)-axis is ( (0,10) ).
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रेखा (y=9x+8) में (x) के (1) बढ़ने पर (y) कितना बढ़ता है?
In the line (y=9x+8), by how much does (y) increase when (x) increases by (1)?
#slope
#rate_of_change
#unit_increase
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A (8)
B (17)
C (9)
D (1)
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Explanation
Simple Explanation
ढाल (9) है। इसका अर्थ है कि (x) के (1) बढ़ने पर (y) (9) बढ़ता है। / The slope is (9). It means (y) increases by (9) when (x) increases by (1).
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रेखा (y=-8x+21) में (x) के (1) बढ़ने पर (y) में क्या परिवर्तन होता है?
In the line (y=-8x+21), what change occurs in (y) when (x) increases by (1)?
#negative_slope
#rate_of_change
#unit_change
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A (8) बढ़ता है / Increases by (8)
B (21) बढ़ता है / Increases by (21)
C (21) घटता है / Decreases by (21)
D (8) घटता है / Decreases by (8)
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Correct Answer
D. (8) घटता है / Decreases by (8)
Explanation
Simple Explanation
ढाल (-8) है। इसलिए (x) के (1) बढ़ने पर (y) (8) घटता है। / The slope is (-8). So when (x) increases by (1), (y) decreases by (8).
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रेखा (y=10x-13) में स्थिर पद क्या है?
What is the constant term in the line (y=10x-13)?
#constant_term
#y_intercept
#slope_intercept_form
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A (10)
B (13)
C (-13)
D (-10)
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Explanation
Simple Explanation
स्थिर पद वह भाग है जिसमें (x) नहीं होता। यहां स्थिर पद (-13) है। / The constant term is the part without (x). Here the constant term is (-13).
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रेखा (y=-12x+18) में (x) का गुणांक क्या है?
What is the coefficient of (x) in the line (y=-12x+18)?
#coefficient
#slope
#negative_slope
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A (18)
B (12)
C (-18)
D (-12)
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Explanation
Simple Explanation
(x) का गुणांक (-12) है। यही रेखा की ढाल भी है। / The coefficient of (x) is (-12). This is also the slope of the line.
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कौन सी रेखा (y)-अवरोध (-4) रखती है?
Which line has (y)-intercept (-4)?
#y_intercept
#identify_rule
#constant_term
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A (y=4x+3)
B (y=3x-4)
C (y=-4x+3)
D (y=3x+4)
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Correct Answer
B. (y=3x-4)
Explanation
Simple Explanation
(y)-अवरोध स्थिर पद होता है। (y=3x-4) में स्थिर पद (-4) है। / The (y)-intercept is the constant term. In (y=3x-4), the constant term is (-4).
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कौन सी रेखा ढाल (7) रखती है?
Which line has slope (7)?
#slope
#identify_rule
#positive_slope
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A (y=-7x+2)
B (y=x+7)
C (y=7x-6)
D (y=6x+7)
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Correct Answer
C. (y=7x-6)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। (y=7x-6) में गुणांक (7) है। / The slope equals the coefficient of (x). In (y=7x-6), the coefficient is (7).
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रेखा (y=22-9x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=22-9x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (22), (y)-अवरोध (-9) / Slope (22), (y)-intercept (-9)
B ढाल (9), (y)-अवरोध (22) / Slope (9), (y)-intercept (22)
C ढाल (-22), (y)-अवरोध (9) / Slope (-22), (y)-intercept (9)
D ढाल (-9), (y)-अवरोध (22) / Slope (-9), (y)-intercept (22)
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Correct Answer
D. ढाल (-9), (y)-अवरोध (22) / Slope (-9), (y)-intercept (22)
Explanation
Simple Explanation
इसे (y=-9x+22) लिखते हैं। इसलिए ढाल (-9) और (y)-अवरोध (22) है। / We write it as (y=-9x+22). Therefore the slope is (-9) and the (y)-intercept is (22).
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रेखा (y=7-10x) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=7-10x), what are the slope and (y)-intercept?
#slope
#y_intercept
#rearranged_form
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A ढाल (-10), (y)-अवरोध (7) / Slope (-10), (y)-intercept (7)
B ढाल (7), (y)-अवरोध (-10) / Slope (7), (y)-intercept (-10)
C ढाल (10), (y)-अवरोध (7) / Slope (10), (y)-intercept (7)
D ढाल (-7), (y)-अवरोध (10) / Slope (-7), (y)-intercept (10)
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Correct Answer
A. ढाल (-10), (y)-अवरोध (7) / Slope (-10), (y)-intercept (7)
Explanation
Simple Explanation
(y=7-10x) को (y=-10x+7) लिखते हैं। इसलिए ढाल (-10) और (y)-अवरोध (7) है। / We write (y=7-10x) as (y=-10x+7). So the slope is (-10) and the (y)-intercept is (7).
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यदि रेखा (y=mx-8) है, तो (m) क्या बताता है?
If the line is (y=mx-8), 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 (-8) (y)-अवरोध है। / In the form (y=mx+c), (m) represents the slope. Here (-8) is the (y)-intercept.
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रेखा (y=-x-12) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line (y=-x-12)?
#y_intercept
#negative_constant
#constant_term
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A (1)
B (12)
C (-1)
D (-12)
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Explanation
Simple Explanation
स्थिर पद (-12) है। इसलिए (y)-अवरोध (-12) है। / The constant term is (-12). Therefore the (y)-intercept is (-12).
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रेखा (y=16x+5) की ढाल क्या है?
What is the slope of the line (y=16x+5)?
#slope
#coefficient
#linear_graph
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A (16)
B (5)
C (21)
D (11)
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Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक (16) है। / The slope equals the coefficient of (x). Here the coefficient is (16).
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रेखा (y=-15) की ढाल क्या है?
What is the slope of the line (y=-15)?
#zero_slope
#horizontal_line
#slope
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A (15)
B (0)
C (1)
D (-15)
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Explanation
Simple Explanation
(y=-15) एक क्षैतिज रेखा है। क्षैतिज रेखा की ढाल (0) होती है। / (y=-15) is a horizontal line. The slope of a horizontal line is (0).
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यदि रेखा (y=mx+c) (y)-अक्ष को ( (0,6) ) पर काटती है, तो (c) क्या है?
If the line (y=mx+c) cuts the (y)-axis at ( (0,6) ), what is (c)?
#y_intercept
#point_on_y_axis
#slope_intercept_form
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A (0)
B (m)
C (6)
D (-6)
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Explanation
Simple Explanation
(y)-अक्ष पर बिंदु का (y)-मान (y)-अवरोध होता है। इसलिए (c=6) है। / The (y)-value of the point on the (y)-axis is the (y)-intercept. Therefore (c=6).
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यदि रेखा (y=mx+c) (y)-अक्ष को ( (0,-9) ) पर काटती है, तो (c) क्या है?
If the line (y=mx+c) cuts the (y)-axis at ( (0,-9) ), what is (c)?
#y_intercept
#negative_intercept
#point_on_y_axis
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A (9)
B (-9)
C (0)
D (m)
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Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है और (y)-मान (c) होता है। इसलिए (c=-9) है। / On the (y)-axis, (x=0), and the (y)-value is (c). Therefore (c=-9).
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ढाल (9) और (y)-अवरोध (-2) वाली रेखा कौन सी है?
Which line has slope (9) and (y)-intercept (-2)?
#slope
#y_intercept
#model_selection
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A (y=9x-2)
B (y=-2x+9)
C (y=9x+2)
D (y=x-9)
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Correct Answer
A. (y=9x-2)
Explanation
Simple Explanation
ढाल (9) के लिए (x) का गुणांक (9) चाहिए। (y)-अवरोध (-2) से (y=9x-2) बनता है। / For slope (9), the coefficient of (x) must be (9). With (y)-intercept (-2), the line is (y=9x-2).
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ढाल (-6) और (y)-अवरोध (-8) वाली रेखा कौन सी है?
Which line has slope (-6) and (y)-intercept (-8)?
#negative_slope
#negative_intercept
#model_selection
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A (y=6x-8)
B (y=-6x-8)
C (y=-8x-6)
D (y=-6x+8)
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Correct Answer
B. (y=-6x-8)
Explanation
Simple Explanation
ढाल (-6) का अर्थ (x) का गुणांक (-6) है। (y)-अवरोध (-8) होने से (y=-6x-8) सही है। / Slope (-6) means the coefficient of (x) is (-6). With (y)-intercept (-8), (y=-6x-8) is correct.
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रेखा \(y=\frac{9}{4}x+2\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=\frac{9}{4}x+2\)?
#y_intercept
#fraction_slope
#constant_term
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A \(\frac{9}{4}\)
B (4)
C (2)
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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रेखा \(y=-\frac{5}{9}x+8\) की ढाल क्या है?
What is the slope of the line \(y=-\frac{5}{9}x+8\)?
#slope
#fraction_slope
#negative_slope
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A (8)
B \(-\frac{5}{9}\)
C \(\frac{5}{9}\)
D (-8)
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Correct Answer
B. \(-\frac{5}{9}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(-\frac{5}{9}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(-\frac{5}{9}\).
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रेखा (y=7x+20) (y)-अक्ष को किस (y)-मान पर काटती है?
At what (y)-value does the line (y=7x+20) cut the (y)-axis?
#y_intercept
#value_at_zero
#graph
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A (7)
B (13)
C (20)
D (27)
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Explanation
Simple Explanation
(y)-अक्ष पर (x=0) होता है। तब (y=20) मिलता है। / On the (y)-axis, (x=0). Then (y=20).
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रेखा (y=-10x+31) की ढाल का चिन्ह कैसा है?
What is the sign of the slope of the line (y=-10x+31)?
#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 (-10) है। इसलिए उसका चिन्ह ऋणात्मक है। / The slope is (-10). Therefore its sign is negative.
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रेखा (y=14x-6) की ढाल का चिन्ह कैसा है?
What is the sign of the slope of the line (y=14x-6)?
#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 (14) है। इसलिए उसका चिन्ह धनात्मक है। / The slope is (14). Therefore its sign is positive.
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रेखा (y=0x-7) में ढाल और (y)-अवरोध कौन से हैं?
In the line (y=0x-7), what are the slope and (y)-intercept?
#zero_slope
#y_intercept
#identify_both
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A ढाल (0), (y)-अवरोध (-7) / Slope (0), (y)-intercept (-7)
B ढाल (-7), (y)-अवरोध (0) / Slope (-7), (y)-intercept (0)
C ढाल (7), (y)-अवरोध (0) / Slope (7), (y)-intercept (0)
D ढाल (0), (y)-अवरोध (7) / Slope (0), (y)-intercept (7)
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Correct Answer
A. ढाल (0), (y)-अवरोध (-7) / Slope (0), (y)-intercept (-7)
Explanation
Simple Explanation
(x) का गुणांक (0) है और स्थिर पद (-7) है। इसलिए ढाल (0) और (y)-अवरोध (-7) है। / The coefficient of (x) is (0), and the constant term is (-7). So the slope is (0) and the (y)-intercept is (-7).
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रेखा (y=21-8x) में (x) का गुणांक और स्थिर पद कौन से हैं?
In the line (y=21-8x), what are the coefficient of (x) and the constant term?
#coefficient
#constant_term
#rearranged_form
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A गुणांक (21), स्थिर पद (-8) / Coefficient (21), constant term (-8)
B गुणांक (8), स्थिर पद (21) / Coefficient (8), constant term (21)
C गुणांक (-8), स्थिर पद (21) / Coefficient (-8), constant term (21)
D गुणांक (-21), स्थिर पद (8) / Coefficient (-21), constant term (8)
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Correct Answer
C. गुणांक (-8), स्थिर पद (21) / Coefficient (-8), constant term (21)
Explanation
Simple Explanation
इसे (y=-8x+21) लिखते हैं। इसलिए (x) का गुणांक (-8) और स्थिर पद (21) है। / We write it as (y=-8x+21). Therefore the coefficient of (x) is (-8), and the constant term is (21).
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रेखा (y=10-2x) (y)-अक्ष को किस बिंदु पर काटती है?
At which point does the line (y=10-2x) cut the (y)-axis?
#y_intercept
#point_on_y_axis
#rearranged_form
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A ( (0,10) )
B ( (10,0) )
C ( (0,-2) )
D ( (-2,10) )
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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=-13x+6) में (x) के (1) बढ़ने पर (y) में क्या परिवर्तन होता है?
In the line (y=-13x+6), what change occurs in (y) when (x) increases by (1)?
#negative_slope
#rate_of_change
#unit_change
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A (13) बढ़ता है / Increases by (13)
B (6) बढ़ता है / Increases by (6)
C (6) घटता है / Decreases by (6)
D (13) घटता है / Decreases by (13)
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Correct Answer
D. (13) घटता है / Decreases by (13)
Explanation
Simple Explanation
ढाल (-13) है। इसलिए (x) के (1) बढ़ने पर (y) (13) घटता है। / The slope is (-13). So when (x) increases by (1), (y) decreases by (13).
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रेखा (y=11x+13) में (x) के (1) बढ़ने पर (y) कितना बढ़ता है?
In the line (y=11x+13), by how much does (y) increase when (x) increases by (1)?
#positive_slope
#rate_of_change
#unit_increase
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A (13)
B (24)
C (11)
D (1)
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Explanation
Simple Explanation
ढाल (11) है। इसलिए (x) के (1) बढ़ने पर (y) (11) बढ़ता है। / The slope is (11). So when (x) increases by (1), (y) increases by (11).
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रेखा \(y=\frac{4}{3}x-6\) की ढाल क्या है?
What is the slope of the line \(y=\frac{4}{3}x-6\)?
#slope
#fraction_slope
#coefficient
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A (6)
B (-6)
C \(\frac{4}{3}\)
D \(-\frac{4}{3}\)
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Correct Answer
C. \(\frac{4}{3}\)
Explanation
Simple Explanation
ढाल (x) के गुणांक के बराबर होती है। यहां गुणांक \(\frac{4}{3}\) है। / The slope equals the coefficient of (x). Here the coefficient is \(\frac{4}{3}\).
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रेखा \(y=-\frac{3}{8}x+5\) का (y)-अवरोध क्या है?
What is the (y)-intercept of the line \(y=-\frac{3}{8}x+5\)?
#y_intercept
#fraction_slope
#constant_term
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A \(-\frac{3}{8}\)
B (5)
C \(\frac{3}{8}\)
D (-5)
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Explanation
Simple Explanation
स्थिर पद (5) है। इसलिए (y)-अवरोध (5) है। / The constant term is (5). Therefore the (y)-intercept is (5).
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