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Mathematics Quiz - Class 9 Mathematics Introduction to Po...

Question 1/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (14x+7y=35) को (y=mx+c) रूप में लिखने पर ढाल और (y)-अवरोध क्या होंगे?

When (14x+7y=35) is written in (y=mx+c) form, what are the slope and (y)-intercept?

Explanation opens after your attempt

Correct Answer

A. ढाल (-2), (y)-अवरोध (5)Slope (-2), (y)-intercept (5)

Step 1

Concept

From (7y=-14x+35), we get (y=-2x+5). The coefficient is slope and the constant term is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is A. ढाल (-2), (y)-अवरोध (5) / Slope (-2), (y)-intercept (5). From (7y=-14x+35), we get (y=-2x+5). The coefficient is slope and the constant term is the (y)-intercept.

Step 3

Exam Tip

(7y=-14x+35) से (y=-2x+5) मिलता है। गुणांक ढाल और स्थिर पद (y)-अवरोध होता है।

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Question 2/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि रेखा (y=(3k-4)x+2) की ढाल (17) है, तो (k) क्या है?

If the line (y=(3k-4)x+2) has slope (17), what is (k)?

Explanation opens after your attempt

Correct Answer

D. (7)

Step 1

Concept

The slope is (3k-4). From (3k-4=17), (k=7).

Step 2

Why this answer is correct

The correct answer is D. (7). The slope is (3k-4). From (3k-4=17), (k=7).

Step 3

Exam Tip

ढाल (3k-4) है। (3k-4=17) से (k=7) मिलता है।

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Question 3/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (6y=18x-54) का (y)-अवरोध क्या है?

What is the (y)-intercept of (6y=18x-54)?

Explanation opens after your attempt

Correct Answer

B. (-9)

Step 1

Concept

Dividing by (6) gives (y=3x-9). The constant term (-9) is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is B. (-9). Dividing by (6) gives (y=3x-9). The constant term (-9) is the (y)-intercept.

Step 3

Exam Tip

(6) से भाग देने पर (y=3x-9) मिलता है। स्थिर पद (-9) (y)-अवरोध है।

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Question 4/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=-6x+c) बिंदु ((5,-18)) से गुजरती है। इसका (y)-अवरोध क्या है?

The line (y=-6x+c) passes through ((5,-18)). What is its (y)-intercept?

Explanation opens after your attempt

Correct Answer

D. (12)

Step 1

Concept

Substituting the point gives (-18=-6(5)+c). Therefore (c=12).

Step 2

Why this answer is correct

The correct answer is D. (12). Substituting the point gives (-18=-6(5)+c). Therefore (c=12).

Step 3

Exam Tip

बिंदु रखने पर (-18=-6(5)+c) मिलता है। इसलिए (c=12) है।

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Question 5/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=mx-11) बिंदु ((-4,9)) से गुजरती है। इसकी ढाल क्या है?

The line (y=mx-11) passes through ((-4,9)). What is its slope?

Explanation opens after your attempt

Correct Answer

B. (-5)

Step 1

Concept

Substituting the point gives (9=-4m-11). Thus (-4m=20) and (m=-5).

Step 2

Why this answer is correct

The correct answer is B. (-5). Substituting the point gives (9=-4m-11). Thus (-4m=20) and (m=-5).

Step 3

Exam Tip

बिंदु रखने पर (9=-4m-11) मिलता है। इससे (-4m=20) और (m=-5) है।

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Question 6/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (9x-4y=28) की ढाल क्या है?

What is the slope of (9x-4y=28)?

Explanation opens after your attempt

Correct Answer

A. \(\frac{9}{4}\)

Step 1

Concept

From (9x-4y=28), we get \(y=\frac{9}{4}x-7\). Therefore the slope is \(\frac{9}{4}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{9}{4}\). From (9x-4y=28), we get \(y=\frac{9}{4}x-7\). Therefore the slope is \(\frac{9}{4}\).

Step 3

Exam Tip

(9x-4y=28) से \(y=\frac{9}{4}x-7\) मिलता है। इसलिए ढाल \(\frac{9}{4}\) है।

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Question 7/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (ay=36x-60) की ढाल (6) है, तो (a) का मान क्या है?

If (ay=36x-60) has slope (6), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

B. (6)

Step 1

Concept

\(y=\frac{36}{a}x-\frac{60}{a}\). From \(\frac{36}{a}=6\), (a=6).

Step 2

Why this answer is correct

The correct answer is B. (6). \(y=\frac{36}{a}x-\frac{60}{a}\). From \(\frac{36}{a}=6\), (a=6).

Step 3

Exam Tip

\(y=\frac{36}{a}x-\frac{60}{a}\) होगा। \(\frac{36}{a}=6\) से (a=6) है।

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Question 8/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (ky=30x-90) का (y)-अवरोध (-15) है, तो (k) क्या है?

If (ky=30x-90) has (y)-intercept (-15), what is (k)?

Explanation opens after your attempt

Correct Answer

D. (6)

Step 1

Concept

\(y=\frac{30}{k}x-\frac{90}{k}\). From \(-\frac{90}{k}=-15\), (k=6).

Step 2

Why this answer is correct

The correct answer is D. (6). \(y=\frac{30}{k}x-\frac{90}{k}\). From \(-\frac{90}{k}=-15\), (k=6).

Step 3

Exam Tip

\(y=\frac{30}{k}x-\frac{90}{k}\) होगा। \(-\frac{90}{k}=-15\) से (k=6) है।

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Question 9/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=(4p-3)x-5) की ढाल (25) है। (p) क्या होगा?

The line (y=(4p-3)x-5) has slope (25). What will (p) be?

Explanation opens after your attempt

Correct Answer

D. (7)

Step 1

Concept

The slope is (4p-3). From (4p-3=25), (p=7).

Step 2

Why this answer is correct

The correct answer is D. (7). The slope is (4p-3). From (4p-3=25), (p=7).

Step 3

Exam Tip

ढाल (4p-3) है। (4p-3=25) से (p=7) मिलता है।

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Question 10/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(r+8)x+(r-4)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(r+8)x+(r-4)) passes through the origin, what will be its slope?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

To pass through the origin, (r-4=0). Thus (r=4) and the slope is (12).

Step 2

Why this answer is correct

The correct answer is C. (12). To pass through the origin, (r-4=0). Thus (r=4) and the slope is (12).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (r-4=0) होगा। इसलिए (r=4) और ढाल (12) है।

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Question 11/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (18x+6y-72=0) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept in (18x+6y-72=0)?

Explanation opens after your attempt

Correct Answer

A. ढाल (-3), (y)-अवरोध (12)Slope (-3), (y)-intercept (12)

Step 1

Concept

From (6y=-18x+72), (y=-3x+12). So the slope is (-3) and the (y)-intercept is (12).

Step 2

Why this answer is correct

The correct answer is A. ढाल (-3), (y)-अवरोध (12) / Slope (-3), (y)-intercept (12). From (6y=-18x+72), (y=-3x+12). So the slope is (-3) and the (y)-intercept is (12).

Step 3

Exam Tip

(6y=-18x+72) से (y=-3x+12) मिलता है। इसलिए ढाल (-3) और (y)-अवरोध (12) है।

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Question 12/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (10x-5y+25=0) का (y)-अवरोध क्या है?

What is the (y)-intercept of (10x-5y+25=0)?

Explanation opens after your attempt

Correct Answer

A. (5)

Step 1

Concept

Putting (x=0) gives (-5y+25=0). Thus (y=5).

Step 2

Why this answer is correct

The correct answer is A. (5). Putting (x=0) gives (-5y+25=0). Thus (y=5).

Step 3

Exam Tip

(x=0) रखने पर (-5y+25=0) मिलता है। इससे (y=5) है।

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Question 13/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि दो रेखाएं (y=(q-6)x+9) और (y=10x-4) समान ढाल रखती हैं, तो (q) क्या है?

If the two lines (y=(q-6)x+9) and (y=10x-4) have the same slope, what is (q)?

Explanation opens after your attempt

Correct Answer

D. (16)

Step 1

Concept

For equal slopes, (q-6=10). This gives (q=16).

Step 2

Why this answer is correct

The correct answer is D. (16). For equal slopes, (q-6=10). This gives (q=16).

Step 3

Exam Tip

समान ढाल के लिए (q-6=10) होना चाहिए। इससे (q=16) मिलता है।

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Question 14/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=-9x+s) और (y=6x-17) का (y)-अवरोध समान है, तो (s) क्या होगा?

If (y=-9x+s) and (y=6x-17) have the same (y)-intercept, what will (s) be?

Explanation opens after your attempt

Correct Answer

A. (-17)

Step 1

Concept

The first line has (y)-intercept (s) and the second has (-17). If equal, (s=-17).

Step 2

Why this answer is correct

The correct answer is A. (-17). The first line has (y)-intercept (s) and the second has (-17). If equal, (s=-17).

Step 3

Exam Tip

पहली रेखा का (y)-अवरोध (s) और दूसरी का (-17) है। समान होने पर (s=-17) होगा।

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Question 15/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(a-7)x+a) में ढाल और (y)-अवरोध का अंतर (-7) है, तो कौन सा कथन सही है?

If in (y=(a-7)x+a), the difference between slope and (y)-intercept is (-7), which statement is correct?

Explanation opens after your attempt

Correct Answer

A. यह हर (a) के लिए सही हैIt is true for every (a)

Step 1

Concept

The slope is (a-7) and the (y)-intercept is (a). The difference ((a-7)-a=-7) holds for every (a).

Step 2

Why this answer is correct

The correct answer is A. यह हर (a) के लिए सही है / It is true for every (a). The slope is (a-7) and the (y)-intercept is (a). The difference ((a-7)-a=-7) holds for every (a).

Step 3

Exam Tip

ढाल (a-7) और (y)-अवरोध (a) है। अंतर ((a-7)-a=-7) हर (a) के लिए है।

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Question 16/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=6x+b) बिंदुओं ((2,19)) और ((5,37)) से गुजरती है। (b) क्या है?

The line (y=6x+b) passes through ((2,19)) and ((5,37)). What is (b)?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

From the first point, (19=6(2)+b). So (b=7) and the second point also fits.

Step 2

Why this answer is correct

The correct answer is B. (7). From the first point, (19=6(2)+b). So (b=7) and the second point also fits.

Step 3

Exam Tip

पहले बिंदु से (19=6(2)+b) मिलता है। इसलिए (b=7) है और दूसरा बिंदु भी सही है।

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Question 17/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=mx+3) बिंदुओं ((4,27)) और ((7,45)) से गुजरती है। (m) क्या है?

The line (y=mx+3) passes through ((4,27)) and ((7,45)). What is (m)?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

The slope from the two points is \(\frac{45-27}{7-4}=6\). Therefore (m=6).

Step 2

Why this answer is correct

The correct answer is C. (6). The slope from the two points is \(\frac{45-27}{7-4}=6\). Therefore (m=6).

Step 3

Exam Tip

दोनों बिंदुओं से ढाल \(\frac{45-27}{7-4}=6\) है। इसलिए (m=6) है।

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Question 18/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(k-8)x+11) और (y=5x+(k-2)) की ढालें समान हैं, तो (k) क्या है?

If (y=(k-8)x+11) and (y=5x+(k-2)) have equal slopes, what is (k)?

Explanation opens after your attempt

Correct Answer

D. (13)

Step 1

Concept

For equal slopes, (k-8=5). This gives (k=13).

Step 2

Why this answer is correct

The correct answer is D. (13). For equal slopes, (k-8=5). This gives (k=13).

Step 3

Exam Tip

समान ढाल के लिए (k-8=5) होगा। इससे (k=13) मिलता है।

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Question 19/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(m+2)x-8) और (y=9x+(m^-12)) का (y)-अवरोध समान है, तो (m) क्या है?

If (y=(m+2)x-8) and (y=9x+(m^-12)) have the same (y)-intercept, what is (m)?

Explanation opens after your attempt

Correct Answer

D. (4)

Step 1

Concept

For equal (y)-intercepts, (-8=m^-12). This gives (m=4).

Step 2

Why this answer is correct

The correct answer is D. (4). For equal (y)-intercepts, (-8=m^-12). This gives (m=4).

Step 3

Exam Tip

समान (y)-अवरोध के लिए (-8=m^-12) होगा। इससे (m=4) मिलता है।

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Question 20/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=-7x+24) में (x) कितने बढ़ाने पर (y) (56) घटेगा?

In the line (y=-7x+24), by how much must (x) increase for (y) to decrease by (56)?

Explanation opens after your attempt

Correct Answer

D. (8)

Step 1

Concept

The slope is (-7), so the decrease is \(7\Delta x\). From \(7\Delta x=56\), \(\Delta x=8\).

Step 2

Why this answer is correct

The correct answer is D. (8). The slope is (-7), so the decrease is \(7\Delta x\). From \(7\Delta x=56\), \(\Delta x=8\).

Step 3

Exam Tip

ढाल (-7) है, इसलिए कमी \(7\Delta x\) होगी। \(7\Delta x=56\) से \(\Delta x=8\) है।

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Question 21/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा \(y=\frac{7}{5}x-12\) में (y) को (28) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{7}{5}x-12\), how much should (x) increase to increase (y) by (28)?

Explanation opens after your attempt

Correct Answer

C. (20)

Step 1

Concept

The change is \(\frac{7}{5}\Delta x=28\). This gives \(\Delta x=20\).

Step 2

Why this answer is correct

The correct answer is C. (20). The change is \(\frac{7}{5}\Delta x=28\). This gives \(\Delta x=20\).

Step 3

Exam Tip

परिवर्तन \(\frac{7}{5}\Delta x=28\) होगा। इससे \(\Delta x=20\) मिलता है।

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Question 22/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=px+q) में (p=-8) और (q=11), तो सही कथन कौन सा है?

If (p=-8) and (q=11) in (y=px+q), which statement is correct?

Explanation opens after your attempt

Correct Answer

B. रेखा घटती है और (y)-अवरोध धनात्मक हैThe line decreases and the (y)-intercept is positive

Step 1

Concept

(p=-8) gives a negative slope and (q=11) gives a positive (y)-intercept. So the line decreases.

Step 2

Why this answer is correct

The correct answer is B. रेखा घटती है और (y)-अवरोध धनात्मक है / The line decreases and the (y)-intercept is positive. (p=-8) gives a negative slope and (q=11) gives a positive (y)-intercept. So the line decreases.

Step 3

Exam Tip

(p=-8) ऋणात्मक ढाल देता है और (q=11) धनात्मक (y)-अवरोध देता है। इसलिए रेखा घटती है।

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Question 23/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (5x+ay=45) का (y)-अवरोध (9) है, तो (a) क्या है?

If (5x+ay=45) has (y)-intercept (9), what is (a)?

Explanation opens after your attempt

Correct Answer

D. (5)

Step 1

Concept

Putting (x=0) gives (ay=45) and \(y=\frac{45}{a}\). From \(\frac{45}{a}=9\), (a=5).

Step 2

Why this answer is correct

The correct answer is D. (5). Putting (x=0) gives (ay=45) and \(y=\frac{45}{a}\). From \(\frac{45}{a}=9\), (a=5).

Step 3

Exam Tip

(x=0) रखने पर (ay=45) और \(y=\frac{45}{a}\) मिलता है। \(\frac{45}{a}=9\) से (a=5) है।

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Question 24/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (bx+10y=70) की ढाल (-3) है, तो (b) क्या है?

If (bx+10y=70) has slope (-3), what is (b)?

Explanation opens after your attempt

Correct Answer

D. (30)

Step 1

Concept

From (10y=-bx+70), the slope is \(-\frac{b}{10}\). From \(-\frac{b}{10}=-3\), (b=30).

Step 2

Why this answer is correct

The correct answer is D. (30). From (10y=-bx+70), the slope is \(-\frac{b}{10}\). From \(-\frac{b}{10}=-3\), (b=30).

Step 3

Exam Tip

(10y=-bx+70) से ढाल \(-\frac{b}{10}\) है। \(-\frac{b}{10}=-3\) से (b=30) है।

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Question 25/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=(n-7)x+(4n-5)) का (y)-अवरोध (23) है। इसकी ढाल क्या है?

The line (y=(n-7)x+(4n-5)) has (y)-intercept (23). What is its slope?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

From (4n-5=23), (n=7). The slope is (n-7=0).

Step 2

Why this answer is correct

The correct answer is A. (0). From (4n-5=23), (n=7). The slope is (n-7=0).

Step 3

Exam Tip

(4n-5=23) से (n=7) मिलता है। ढाल (n-7=0) है।

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Question 26/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=(t-10)x+(3t-1)) की ढाल (5) है। इसका (y)-अवरोध क्या है?

The line (y=(t-10)x+(3t-1)) has slope (5). What is its (y)-intercept?

Explanation opens after your attempt

Correct Answer

B. (44)

Step 1

Concept

From (t-10=5), (t=15). The (y)-intercept is (3t-1=44).

Step 2

Why this answer is correct

The correct answer is B. (44). From (t-10=5), (t=15). The (y)-intercept is (3t-1=44).

Step 3

Exam Tip

(t-10=5) से (t=15) मिलता है। (y)-अवरोध (3t-1=44) है।

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Question 27/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

कौन सी रेखा ((0,-14)) पर (y)-अक्ष काटती है और (x) के (6) बढ़ने पर (y) (54) बढ़ाती है?

Which line cuts the (y)-axis at ((0,-14)) and increases (y) by (54) when (x) increases by (6)?

Explanation opens after your attempt

Correct Answer

A. (y=9x-14)

Step 1

Concept

The slope is \(\frac{54}{6}=9\) and the (y)-intercept is (-14). So the line is (y=9x-14).

Step 2

Why this answer is correct

The correct answer is A. (y=9x-14). The slope is \(\frac{54}{6}=9\) and the (y)-intercept is (-14). So the line is (y=9x-14).

Step 3

Exam Tip

ढाल \(\frac{54}{6}=9\) है और (y)-अवरोध (-14) है। इसलिए रेखा (y=9x-14) है।

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Question 28/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

कौन सी रेखा ((0,18)) पर (y)-अक्ष काटती है और (x) के (7) बढ़ने पर (y) (49) घटाती है?

Which line cuts the (y)-axis at ((0,18)) and decreases (y) by (49) when (x) increases by (7)?

Explanation opens after your attempt

Correct Answer

B. (y=-7x+18)

Step 1

Concept

The slope is \(-\frac{49}{7}=-7\) and the (y)-intercept is (18). So (y=-7x+18) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=-7x+18). The slope is \(-\frac{49}{7}=-7\) and the (y)-intercept is (18). So (y=-7x+18) is correct.

Step 3

Exam Tip

ढाल \(-\frac{49}{7}=-7\) है और (y)-अवरोध (18) है। इसलिए (y=-7x+18) सही है।

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Question 29/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(a+9)x+(a-15)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(a+9)x+(a-15)) passes through the origin, what will be its slope?

Explanation opens after your attempt

Correct Answer

C. (24)

Step 1

Concept

To pass through the origin, (a-15=0). Thus (a=15) and the slope is (24).

Step 2

Why this answer is correct

The correct answer is C. (24). To pass through the origin, (a-15=0). Thus (a=15) and the slope is (24).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (a-15=0) होगा। इसलिए (a=15) और ढाल (24) है।

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Question 30/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(3u-2)x+(u+6)) का (y)-अवरोध (16) है, तो ढाल क्या है?

If (y=(3u-2)x+(u+6)) has (y)-intercept (16), what is the slope?

Explanation opens after your attempt

Correct Answer

B. (28)

Step 1

Concept

From (u+6=16), (u=10). The slope is (3u-2=28).

Step 2

Why this answer is correct

The correct answer is B. (28). From (u+6=16), (u=10). The slope is (3u-2=28).

Step 3

Exam Tip

(u+6=16) से (u=10) मिलता है। ढाल (3u-2=28) है।

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Question 31/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (10x+4y-44=0) में (y)-अवरोध और ढाल कौन से हैं?

What are the (y)-intercept and slope in (10x+4y-44=0)?

Explanation opens after your attempt

Correct Answer

A. (y)-अवरोध (11), ढाल \(-\frac{5}{2}\)(y)-intercept (11), slope \(-\frac{5}{2}\)

Step 1

Concept

From (4y=-10x+44), \(y=-\frac{5}{2}x+11\). So the (y)-intercept is (11) and slope is \(-\frac{5}{2}\).

Step 2

Why this answer is correct

The correct answer is A. (y)-अवरोध (11), ढाल \(-\frac{5}{2}\) / (y)-intercept (11), slope \(-\frac{5}{2}\). From (4y=-10x+44), \(y=-\frac{5}{2}x+11\). So the (y)-intercept is (11) and slope is \(-\frac{5}{2}\).

Step 3

Exam Tip

(4y=-10x+44) से \(y=-\frac{5}{2}x+11\) मिलता है। इसलिए (y)-अवरोध (11) और ढाल \(-\frac{5}{2}\) है।

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Question 32/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=8x+b) और (y=-6x+13) (y)-अक्ष पर एक ही बिंदु काटती हैं, तो (b) क्या है?

If (y=8x+b) and (y=-6x+13) cut the (y)-axis at the same point, what is (b)?

Explanation opens after your attempt

Correct Answer

D. (13)

Step 1

Concept

The same (y)-axis point means equal (y)-intercepts. Therefore (b=13).

Step 2

Why this answer is correct

The correct answer is D. (13). The same (y)-axis point means equal (y)-intercepts. Therefore (b=13).

Step 3

Exam Tip

एक ही (y)-अक्ष बिंदु का अर्थ समान (y)-अवरोध है। इसलिए (b=13) है।

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Question 33/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=ax-12) और (y=10x+5) की ढालें समान हैं, तो (x=3) पर पहली रेखा का (y) क्या होगा?

If (y=ax-12) and (y=10x+5) have equal slopes, what is (y) on the first line at (x=3)?

Explanation opens after your attempt

Correct Answer

B. (18)

Step 1

Concept

Equal slopes give (a=10). Putting (x=3), (y=10(3)-12=18).

Step 2

Why this answer is correct

The correct answer is B. (18). Equal slopes give (a=10). Putting (x=3), (y=10(3)-12=18).

Step 3

Exam Tip

समान ढाल से (a=10) है। (x=3) रखने पर (y=10(3)-12=18) है।

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Question 34/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=-11x+c) का (y)-अवरोध (7) है। (x=-3) पर (y) क्या होगा?

The line (y=-11x+c) has (y)-intercept (7). What will (y) be at (x=-3)?

Explanation opens after your attempt

Correct Answer

D. (40)

Step 1

Concept

The (y)-intercept (7) gives (c=7). Putting (x=-3), (y=-11(-3)+7=40).

Step 2

Why this answer is correct

The correct answer is D. (40). The (y)-intercept (7) gives (c=7). Putting (x=-3), (y=-11(-3)+7=40).

Step 3

Exam Tip

(y)-अवरोध (7) से (c=7) है। (x=-3) रखने पर (y=-11(-3)+7=40) है।

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Question 35/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि रेखा (y=(k-5)x+4) (x) के (8) बढ़ने पर (y) (72) बढ़ाती है, तो (k) क्या है?

If the line (y=(k-5)x+4) increases (y) by (72) when (x) increases by (8), what is (k)?

Explanation opens after your attempt

Correct Answer

D. (14)

Step 1

Concept

The slope is (k-5) and (8(k-5)=72). Therefore (k-5=9) and (k=14).

Step 2

Why this answer is correct

The correct answer is D. (14). The slope is (k-5) and (8(k-5)=72). Therefore (k-5=9) and (k=14).

Step 3

Exam Tip

ढाल (k-5) है और (8(k-5)=72)। इसलिए (k-5=9) और (k=14) है।

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Question 36/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि रेखा (y=-(p+4)x+20) (x) के (5) बढ़ने पर (y) (55) घटाती है, तो (p) क्या है?

If the line (y=-(p+4)x+20) decreases (y) by (55) when (x) increases by (5), what is (p)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The slope is (-(p+4)) and the decrease is (5(p+4)=55). So (p+4=11) and (p=7).

Step 2

Why this answer is correct

The correct answer is C. (7). The slope is (-(p+4)) and the decrease is (5(p+4)=55). So (p+4=11) and (p=7).

Step 3

Exam Tip

ढाल (-(p+4)) है और कमी (5(p+4)=55) होगी। इसलिए (p+4=11) और (p=7) है।

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Question 37/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (9y-7x=45) में (x=0) पर (y) का मान और ढाल क्या हैं?

In (9y-7x=45), what are the value of (y) at (x=0) and the slope?

Explanation opens after your attempt

Correct Answer

A. (y=5), ढाल \(\frac{7}{9}\)(y=5), slope \(\frac{7}{9}\)

Step 1

Concept

From (9y=7x+45), \(y=\frac{7}{9}x+5\). So at (x=0), (y=5) and the slope is \(\frac{7}{9}\).

Step 2

Why this answer is correct

The correct answer is A. (y=5), ढाल \(\frac{7}{9}\) / (y=5), slope \(\frac{7}{9}\). From (9y=7x+45), \(y=\frac{7}{9}x+5\). So at (x=0), (y=5) and the slope is \(\frac{7}{9}\).

Step 3

Exam Tip

(9y=7x+45) से \(y=\frac{7}{9}x+5\) मिलता है। इसलिए (x=0) पर (y=5) और ढाल \(\frac{7}{9}\) है।

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Question 38/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=mx+c) में (m+c=21) और (c=8), तो ढाल क्या है?

If (m+c=21) and (c=8) in (y=mx+c), what is the slope?

Explanation opens after your attempt

Correct Answer

C. (13)

Step 1

Concept

Putting (c=8) gives (m+8=21). Therefore (m=13).

Step 2

Why this answer is correct

The correct answer is C. (13). Putting (c=8) gives (m+8=21). Therefore (m=13).

Step 3

Exam Tip

(c=8) रखने पर (m+8=21) मिलता है। इसलिए (m=13) है।

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Question 39/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=mx+c) में ढाल (-7) है और (m+c=5), तो (y)-अवरोध क्या है?

If the slope is (-7) and (m+c=5) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

Slope (-7) gives (m=-7). From (-7+c=5), (c=12).

Step 2

Why this answer is correct

The correct answer is C. (12). Slope (-7) gives (m=-7). From (-7+c=5), (c=12).

Step 3

Exam Tip

ढाल (-7) से (m=-7) है। (-7+c=5) से (c=12) है।

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Question 40/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा \(y=\frac{5}{6}x+c\) बिंदु ((12,19)) से गुजरती है। (c) क्या है?

The line \(y=\frac{5}{6}x+c\) passes through ((12,19)). What is (c)?

Explanation opens after your attempt

Correct Answer

B. (9)

Step 1

Concept

Substituting the point gives (19=\frac{5}{6}(12)+c). So (19=10+c) and (c=9).

Step 2

Why this answer is correct

The correct answer is B. (9). Substituting the point gives (19=\frac{5}{6}(12)+c). So (19=10+c) and (c=9).

Step 3

Exam Tip

बिंदु रखने पर (19=\frac{5}{6}(12)+c) मिलता है। इसलिए (19=10+c) और (c=9) है।

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Question 41/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा (y=mx-7) बिंदु ((14,0)) से गुजरती है। (m) क्या है?

The line (y=mx-7) passes through ((14,0)). What is (m)?

Explanation opens after your attempt

Correct Answer

A. \(\frac{1}{2}\)

Step 1

Concept

Substituting the point gives (0=14m-7). Thus (14m=7) and \(m=\frac{1}{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{2}\). Substituting the point gives (0=14m-7). Thus (14m=7) and \(m=\frac{1}{2}\).

Step 3

Exam Tip

बिंदु रखने पर (0=14m-7) मिलता है। इससे (14m=7) और \(m=\frac{1}{2}\) है।

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Question 42/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(6a-5)x+(a+4)) का (y)-अवरोध (13) है, तो ढाल क्या है?

If (y=(6a-5)x+(a+4)) has (y)-intercept (13), what is the slope?

Explanation opens after your attempt

Correct Answer

A. (49)

Step 1

Concept

From (a+4=13), (a=9). The slope is (6a-5=49).

Step 2

Why this answer is correct

The correct answer is A. (49). From (a+4=13), (a=9). The slope is (6a-5=49).

Step 3

Exam Tip

(a+4=13) से (a=9) मिलता है। ढाल (6a-5=49) है।

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Question 43/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(b-13)x+(3b+1)) की ढाल (4) है, तो (y)-अवरोध क्या है?

If (y=(b-13)x+(3b+1)) has slope (4), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

B. (52)

Step 1

Concept

From (b-13=4), (b=17). The (y)-intercept is (3b+1=52).

Step 2

Why this answer is correct

The correct answer is B. (52). From (b-13=4), (b=17). The (y)-intercept is (3b+1=52).

Step 3

Exam Tip

(b-13=4) से (b=17) मिलता है। (y)-अवरोध (3b+1=52) है।

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Question 44/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

समीकरण (7x-8y+24=0) की ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of (7x-8y+24=0)?

Explanation opens after your attempt

Correct Answer

A. ढाल \(\frac{7}{8}\), (y)-अवरोध (3)Slope \(\frac{7}{8}\), (y)-intercept (3)

Step 1

Concept

From (-8y=-7x-24), \(y=\frac{7}{8}x+3\). So the slope is \(\frac{7}{8}\) and the (y)-intercept is (3).

Step 2

Why this answer is correct

The correct answer is A. ढाल \(\frac{7}{8}\), (y)-अवरोध (3) / Slope \(\frac{7}{8}\), (y)-intercept (3). From (-8y=-7x-24), \(y=\frac{7}{8}x+3\). So the slope is \(\frac{7}{8}\) and the (y)-intercept is (3).

Step 3

Exam Tip

(-8y=-7x-24) से \(y=\frac{7}{8}x+3\) मिलता है। इसलिए ढाल \(\frac{7}{8}\) और (y)-अवरोध (3) है।

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Question 45/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(t+5)x-9) और (y=14x+(2t-7)) की ढालें समान हैं, तो दूसरी रेखा का (y)-अवरोध क्या है?

If (y=(t+5)x-9) and (y=14x+(2t-7)) have equal slopes, what is the (y)-intercept of the second line?

Explanation opens after your attempt

Correct Answer

B. (11)

Step 1

Concept

Equal slopes give (t+5=14) and (t=9). The second line's (y)-intercept is (2t-7=11).

Step 2

Why this answer is correct

The correct answer is B. (11). Equal slopes give (t+5=14) and (t=9). The second line's (y)-intercept is (2t-7=11).

Step 3

Exam Tip

समान ढाल से (t+5=14) और (t=9) है। दूसरी रेखा का (y)-अवरोध (2t-7=11) है।

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Question 46/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=5x+(v-9)) और (y=(v+4)x+8) का (y)-अवरोध समान है, तो दूसरी रेखा की ढाल क्या है?

If (y=5x+(v-9)) and (y=(v+4)x+8) have the same (y)-intercept, what is the slope of the second line?

Explanation opens after your attempt

Correct Answer

C. (21)

Step 1

Concept

Equal (y)-intercepts give (v-9=8) and (v=17). The slope of the second line is (v+4=21).

Step 2

Why this answer is correct

The correct answer is C. (21). Equal (y)-intercepts give (v-9=8) and (v=17). The slope of the second line is (v+4=21).

Step 3

Exam Tip

समान (y)-अवरोध से (v-9=8) और (v=17) है। दूसरी रेखा की ढाल (v+4=21) है।

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Question 47/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

रेखा \(y=-\frac{7}{4}x+18\) में (y) को (42) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{7}{4}x+18\), how much should (x) increase to decrease (y) by (42)?

Explanation opens after your attempt

Correct Answer

C. (24)

Step 1

Concept

The decrease is \(\frac{7}{4}\Delta x\). From \(\frac{7}{4}\Delta x=42\), \(\Delta x=24\).

Step 2

Why this answer is correct

The correct answer is C. (24). The decrease is \(\frac{7}{4}\Delta x\). From \(\frac{7}{4}\Delta x=42\), \(\Delta x=24\).

Step 3

Exam Tip

कमी \(\frac{7}{4}\Delta x\) होगी। \(\frac{7}{4}\Delta x=42\) से \(\Delta x=24\) मिलता है।

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Question 48/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=(k+7)x+2) (x) के (5) बढ़ने पर (y) (75) बढ़ाती है, तो (k) क्या है?

If (y=(k+7)x+2) increases (y) by (75) when (x) increases by (5), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

The slope is (k+7) and (5(k+7)=75). Therefore (k+7=15) and (k=8).

Step 2

Why this answer is correct

The correct answer is C. (8). The slope is (k+7) and (5(k+7)=75). Therefore (k+7=15) and (k=8).

Step 3

Exam Tip

ढाल (k+7) है और (5(k+7)=75)। इसलिए (k+7=15) और (k=8) है।

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Question 49/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=mx+c) में (c=-15) और (m-c=26), तो ढाल क्या है?

If (c=-15) and (m-c=26) in (y=mx+c), what is the slope?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

Putting (c=-15) gives (m-(-15)=26). Therefore (m=11).

Step 2

Why this answer is correct

The correct answer is C. (11). Putting (c=-15) gives (m-(-15)=26). Therefore (m=11).

Step 3

Exam Tip

(c=-15) रखने पर (m-(-15)=26) मिलता है। इसलिए (m=11) है।

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Question 50/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 39

यदि (y=mx+c) में (m=-5) और (3c+m=31), तो (y)-अवरोध क्या है?

If (m=-5) and (3c+m=31) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

Putting (m=-5) gives (3c-5=31). Thus (3c=36) and (c=12).

Step 2

Why this answer is correct

The correct answer is C. (12). Putting (m=-5) gives (3c-5=31). Thus (3c=36) and (c=12).

Step 3

Exam Tip

(m=-5) रखने पर (3c-5=31) मिलता है। इससे (3c=36) और (c=12) है।

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Class 9 Mathematics - Introduction to Polynomials - Slope and y-intercept Expert Quiz

समीकरण (14x+7y=35) को (y=mx+c) रूप में लिखने पर ढाल और (y)-अवरोध क्या होंगे?

Concept

Why this answer is correct

Exam Tip

यदि रेखा (y=(3k-4)x+2) की ढाल (17) है, तो (k) क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरण (6y=18x-54) का (y)-अवरोध क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=-6x+c) बिंदु ((5,-18)) से गुजरती है। इसका (y)-अवरोध क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=mx-11) बिंदु ((-4,9)) से गुजरती है। इसकी ढाल क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरण (9x-4y=28) की ढाल क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (ay=36x-60) की ढाल (6) है, तो (a) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (ky=30x-90) का (y)-अवरोध (-15) है, तो (k) क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=(4p-3)x-5) की ढाल (25) है। (p) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (y=(r+8)x+(r-4)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

Concept

Why this answer is correct

Exam Tip

समीकरण (18x+6y-72=0) में ढाल और (y)-अवरोध क्या हैं?

Concept

Why this answer is correct

Exam Tip

समीकरण (10x-5y+25=0) का (y)-अवरोध क्या है?

Concept

Why this answer is correct

Exam Tip

यदि दो रेखाएं (y=(q-6)x+9) और (y=10x-4) समान ढाल रखती हैं, तो (q) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (y=-9x+s) और (y=6x-17) का (y)-अवरोध समान है, तो (s) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (y=(a-7)x+a) में ढाल और (y)-अवरोध का अंतर (-7) है, तो कौन सा कथन सही है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=6x+b) बिंदुओं ((2,19)) और ((5,37)) से गुजरती है। (b) क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=mx+3) बिंदुओं ((4,27)) और ((7,45)) से गुजरती है। (m) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (y=(k-8)x+11) और (y=5x+(k-2)) की ढालें समान हैं, तो (k) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (y=(m+2)x-8) और (y=9x+(m-12)) का (y)-अवरोध समान है, तो (m) क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=-7x+24) में (x) कितने बढ़ाने पर (y) (56) घटेगा?

Concept

Why this answer is correct

यदि (y=(m+2)x-8) और (y=9x+(m^-12)) का (y)-अवरोध समान है, तो (m) क्या है?