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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 38

समीकरण (12x+4y=32) को (y=mx+c) रूप में लिखने पर ढाल और (y)-अवरोध क्या होंगे?

When (12x+4y=32) is written in (y=mx+c) form, what are the slope and (y)-intercept?

Explanation opens after your attempt

Correct Answer

A. ढाल (-3), (y)-अवरोध (8)Slope (-3), (y)-intercept (8)

Step 1

Concept

From (4y=-12x+32), (y=-3x+8). The coefficient of (x) is slope and the constant term is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is A. ढाल (-3), (y)-अवरोध (8) / Slope (-3), (y)-intercept (8). From (4y=-12x+32), (y=-3x+8). The coefficient of (x) is slope and the constant term is the (y)-intercept.

Step 3

Exam Tip

(4y=-12x+32) से (y=-3x+8) मिलता है। (x) का 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 38

यदि रेखा (y=(2k-5)x+7) की ढाल (13) है, तो (k) क्या है?

If the line (y=(2k-5)x+7) has slope (13), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

The slope is (2k-5). From (2k-5=13), (k=9).

Step 2

Why this answer is correct

The correct answer is C. (9). The slope is (2k-5). From (2k-5=13), (k=9).

Step 3

Exam Tip

ढाल (2k-5) है। (2k-5=13) से (k=9) मिलता है।

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Question 3/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (5y=15x-40) का (y)-अवरोध क्या है?

What is the (y)-intercept of (5y=15x-40)?

Explanation opens after your attempt

Correct Answer

B. (-8)

Step 1

Concept

Dividing by (5) gives (y=3x-8). The constant term (-8) is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is B. (-8). Dividing by (5) gives (y=3x-8). The constant term (-8) is the (y)-intercept.

Step 3

Exam Tip

(5) से भाग देने पर (y=3x-8) मिलता है। स्थिर पद (-8) (y)-अवरोध है।

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Question 4/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=-5x+c) बिंदु ( (4,-11) ) से गुजरती है। इसका (y)-अवरोध क्या है?

The line (y=-5x+c) passes through ( (4,-11) ). What is its (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

Substituting the point gives (-11=-5(4)+c). Therefore (c=9), which is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is C. (9). Substituting the point gives (-11=-5(4)+c). Therefore (c=9), which is the (y)-intercept.

Step 3

Exam Tip

बिंदु रखने पर (-11=-5(4)+c) मिलता है। इसलिए (c=9), जो (y)-अवरोध है।

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Question 5/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=mx-9) बिंदु ( (-3,6) ) से गुजरती है। इसकी ढाल क्या है?

The line (y=mx-9) passes through ( (-3,6) ). What is its slope?

Explanation opens after your attempt

Correct Answer

B. (-5)

Step 1

Concept

Substituting the point gives (6=-3m-9). Thus (-3m=15) and (m=-5).

Step 2

Why this answer is correct

The correct answer is B. (-5). Substituting the point gives (6=-3m-9). Thus (-3m=15) and (m=-5).

Step 3

Exam Tip

बिंदु रखने पर (6=-3m-9) मिलता है। इससे (-3m=15) और (m=-5) है।

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Question 6/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (7x-2y=18) की ढाल क्या है?

What is the slope of (7x-2y=18)?

Explanation opens after your attempt

Correct Answer

A. \(\frac{7}{2}\)

Step 1

Concept

From (7x-2y=18), \(y=\frac{7}{2}x-9\). Therefore the slope is \(\frac{7}{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{7}{2}\). From (7x-2y=18), \(y=\frac{7}{2}x-9\). Therefore the slope is \(\frac{7}{2}\).

Step 3

Exam Tip

(7x-2y=18) से \(y=\frac{7}{2}x-9\) मिलता है। इसलिए ढाल \(\frac{7}{2}\) है।

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Question 7/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (ay=30x-45) की ढाल (5) है, तो (a) का मान क्या है?

If (ay=30x-45) has slope (5), what is the value of (a)?

Explanation opens after your attempt

Correct Answer

B. (6)

Step 1

Concept

\(y=\frac{30}{a}x-\frac{45}{a}\). From \(\frac{30}{a}=5\), (a=6).

Step 2

Why this answer is correct

The correct answer is B. (6). \(y=\frac{30}{a}x-\frac{45}{a}\). From \(\frac{30}{a}=5\), (a=6).

Step 3

Exam Tip

\(y=\frac{30}{a}x-\frac{45}{a}\) होगा। \(\frac{30}{a}=5\) से (a=6) मिलता है।

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Question 8/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (ky=24x-72) का (y)-अवरोध (-12) है, तो (k) क्या है?

If (ky=24x-72) has (y)-intercept (-12), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

\(y=\frac{24}{k}x-\frac{72}{k}\). From \(-\frac{72}{k}=-12\), (k=6).

Step 2

Why this answer is correct

The correct answer is C. (6). \(y=\frac{24}{k}x-\frac{72}{k}\). From \(-\frac{72}{k}=-12\), (k=6).

Step 3

Exam Tip

\(y=\frac{24}{k}x-\frac{72}{k}\) होगा। \(-\frac{72}{k}=-12\) से (k=6) मिलता है।

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

रेखा (y=(3p+1)x-4) की ढाल (22) है। (p) क्या होगा?

The line (y=(3p+1)x-4) has slope (22). What will (p) be?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The slope is (3p+1). From (3p+1=22), (p=7).

Step 2

Why this answer is correct

The correct answer is C. (7). The slope is (3p+1). From (3p+1=22), (p=7).

Step 3

Exam Tip

ढाल (3p+1) है। (3p+1=22) से (p=7) मिलता है।

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Question 10/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(r+6)x+(r-3)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(r+6)x+(r-3)) passes through the origin, what will be its slope?

Explanation opens after your attempt

Correct Answer

B. (9)

Step 1

Concept

To pass through the origin, (r-3=0). Thus (r=3) and the slope is (r+6=9).

Step 2

Why this answer is correct

The correct answer is B. (9). To pass through the origin, (r-3=0). Thus (r=3) and the slope is (r+6=9).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (r-3=0) होगा। इसलिए (r=3) और ढाल (r+6=9) है।

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Question 11/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (15x+5y-50=0) में ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept in (15x+5y-50=0)?

Explanation opens after your attempt

Correct Answer

A. ढाल (-3), (y)-अवरोध (10)Slope (-3), (y)-intercept (10)

Step 1

Concept

From (5y=-15x+50), (y=-3x+10). So the slope is (-3) and the (y)-intercept is (10).

Step 2

Why this answer is correct

The correct answer is A. ढाल (-3), (y)-अवरोध (10) / Slope (-3), (y)-intercept (10). From (5y=-15x+50), (y=-3x+10). So the slope is (-3) and the (y)-intercept is (10).

Step 3

Exam Tip

(5y=-15x+50) से (y=-3x+10) मिलता है। इसलिए ढाल (-3) और (y)-अवरोध (10) है।

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Question 12/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (6x-3y+15=0) का (y)-अवरोध क्या है?

What is the (y)-intercept of (6x-3y+15=0)?

Explanation opens after your attempt

Correct Answer

A. (5)

Step 1

Concept

Putting (x=0) gives (-3y+15=0). Thus (y=5), so the (y)-intercept is (5).

Step 2

Why this answer is correct

The correct answer is A. (5). Putting (x=0) gives (-3y+15=0). Thus (y=5), so the (y)-intercept is (5).

Step 3

Exam Tip

(x=0) रखने पर (-3y+15=0) मिलता है। इससे (y=5), इसलिए (y)-अवरोध (5) है।

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Question 13/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि दो रेखाएं (y=(q-4)x+11) और (y=8x-5) समान ढाल रखती हैं, तो (q) क्या है?

If the two lines (y=(q-4)x+11) and (y=8x-5) have the same slope, what is (q)?

Explanation opens after your attempt

Correct Answer

D. (12)

Step 1

Concept

For equal slopes, (q-4=8). This gives (q=12).

Step 2

Why this answer is correct

The correct answer is D. (12). For equal slopes, (q-4=8). This gives (q=12).

Step 3

Exam Tip

समान ढाल के लिए (q-4=8) होना चाहिए। इससे (q=12) मिलता है।

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Question 14/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=-8x+s) और (y=5x-13) का (y)-अवरोध समान है, तो (s) क्या होगा?

If (y=-8x+s) and (y=5x-13) have the same (y)-intercept, what will (s) be?

Explanation opens after your attempt

Correct Answer

A. (-13)

Step 1

Concept

The first line has (y)-intercept (s), and the second has (-13). If they are equal, (s=-13).

Step 2

Why this answer is correct

The correct answer is A. (-13). The first line has (y)-intercept (s), and the second has (-13). If they are equal, (s=-13).

Step 3

Exam Tip

पहली रेखा का (y)-अवरोध (s) और दूसरी का (-13) है। समान होने पर (s=-13) होगा।

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Question 15/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(a+5)x+a) में ढाल और (y)-अवरोध का अंतर (5) है, तो कौन सा कथन सही है?

If in (y=(a+5)x+a), the difference between slope and (y)-intercept is (5), 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+5) and the (y)-intercept is (a). Their difference ((a+5)-a=5) 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+5) and the (y)-intercept is (a). Their difference ((a+5)-a=5) holds for every (a).

Step 3

Exam Tip

ढाल (a+5) और (y)-अवरोध (a) है। उनका अंतर ((a+5)-a=5) हर (a) के लिए है।

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Question 16/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=5x+b) बिंदुओं ( (1,12) ) और ( (4,27) ) से गुजरती है। (b) क्या है?

The line (y=5x+b) passes through ( (1,12) ) and ( (4,27) ). What is (b)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

From the first point, (12=5(1)+b). So (b=7), and the second point also fits.

Step 2

Why this answer is correct

The correct answer is C. (7). From the first point, (12=5(1)+b). So (b=7), and the second point also fits.

Step 3

Exam Tip

पहले बिंदु से (12=5(1)+b) मिलता है। इसलिए (b=7), और दूसरा बिंदु भी सही बैठता है।

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Question 17/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=mx+2) बिंदुओं ( (3,17) ) और ( (6,32) ) से गुजरती है। (m) क्या है?

The line (y=mx+2) passes through ( (3,17) ) and ( (6,32) ). What is (m)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The slope from the two points is \(\frac{32-17}{6-3}=5\). Therefore (m=5).

Step 2

Why this answer is correct

The correct answer is C. (5). The slope from the two points is \(\frac{32-17}{6-3}=5\). Therefore (m=5).

Step 3

Exam Tip

दोनों बिंदुओं से ढाल \(\frac{32-17}{6-3}=5\) है। इसलिए (m=5) है।

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Question 18/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(k-7)x+6) और (y=4x+(k-1)) की ढालें समान हैं, तो (k) क्या है?

If (y=(k-7)x+6) and (y=4x+(k-1)) have equal slopes, what is (k)?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

For equal slopes, (k-7=4). This gives (k=11).

Step 2

Why this answer is correct

The correct answer is C. (11). For equal slopes, (k-7=4). This gives (k=11).

Step 3

Exam Tip

समान ढाल के लिए (k-7=4) होगा। इससे (k=11) मिलता है।

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Question 19/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(m+1)x-6) और (y=7x+(m^-10)) का (y)-अवरोध समान है, तो (m) क्या है?

If (y=(m+1)x-6) and (y=7x+(m^-10)) have the same (y)-intercept, what is (m)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

For equal (y)-intercepts, (-6=m^-10). This gives (m=4).

Step 2

Why this answer is correct

The correct answer is C. (4). For equal (y)-intercepts, (-6=m^-10). This gives (m=4).

Step 3

Exam Tip

समान (y)-अवरोध के लिए (-6=m^-10) 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 38

रेखा (y=-6x+20) में (x) कितने बढ़ाने पर (y) (42) घटेगा?

In the line (y=-6x+20), by how much must (x) increase for (y) to decrease by (42)?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

The slope is (-6), so the decrease is \(6\Delta x\). From \(6\Delta x=42\), \(\Delta x=7\).

Step 2

Why this answer is correct

The correct answer is B. (7). The slope is (-6), so the decrease is \(6\Delta x\). From \(6\Delta x=42\), \(\Delta x=7\).

Step 3

Exam Tip

ढाल (-6) है, इसलिए कमी \(6\Delta x\) होगी। \(6\Delta x=42\) से \(\Delta x=7\) है।

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Question 21/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा \(y=\frac{5}{4}x-9\) में (y) को (25) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{5}{4}x-9\), how much should (x) increase to increase (y) by (25)?

Explanation opens after your attempt

Correct Answer

C. (20)

Step 1

Concept

The change is \(\frac{5}{4}\Delta x=25\). This gives \(\Delta x=20\).

Step 2

Why this answer is correct

The correct answer is C. (20). The change is \(\frac{5}{4}\Delta x=25\). This gives \(\Delta x=20\).

Step 3

Exam Tip

परिवर्तन \(\frac{5}{4}\Delta x=25\) 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 38

यदि (y=px+q) में (p=-7) और (q=6), तो सही कथन कौन सा है?

If (p=-7) and (q=6) 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=-7) gives a negative slope and (q=6) 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=-7) gives a negative slope and (q=6) gives a positive (y)-intercept. So the line decreases.

Step 3

Exam Tip

(p=-7) ऋणात्मक ढाल देता है और (q=6) 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 38

यदि (4x+ay=36) का (y)-अवरोध (9) है, तो (a) क्या है?

If (4x+ay=36) has (y)-intercept (9), what is (a)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

Putting (x=0) gives (ay=36) and \(y=\frac{36}{a}\). From \(\frac{36}{a}=9\), (a=4).

Step 2

Why this answer is correct

The correct answer is C. (4). Putting (x=0) gives (ay=36) and \(y=\frac{36}{a}\). From \(\frac{36}{a}=9\), (a=4).

Step 3

Exam Tip

(x=0) रखने पर (ay=36) और \(y=\frac{36}{a}\) मिलता है। \(\frac{36}{a}=9\) से (a=4) है।

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Question 24/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (bx+9y=54) की ढाल (-2) है, तो (b) क्या है?

If (bx+9y=54) has slope (-2), what is (b)?

Explanation opens after your attempt

Correct Answer

C. (18)

Step 1

Concept

From (9y=-bx+54), the slope is \(-\frac{b}{9}\). From \(-\frac{b}{9}=-2\), (b=18).

Step 2

Why this answer is correct

The correct answer is C. (18). From (9y=-bx+54), the slope is \(-\frac{b}{9}\). From \(-\frac{b}{9}=-2\), (b=18).

Step 3

Exam Tip

(9y=-bx+54) से ढाल \(-\frac{b}{9}\) है। \(-\frac{b}{9}=-2\) से (b=18) है।

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Question 25/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=(n-6)x+(3n-2)) का (y)-अवरोध (19) है। इसकी ढाल क्या है?

The line (y=(n-6)x+(3n-2)) has (y)-intercept (19). What is its slope?

Explanation opens after your attempt

Correct Answer

A. (1)

Step 1

Concept

From (3n-2=19), (n=7). The slope is (n-6=1).

Step 2

Why this answer is correct

The correct answer is A. (1). From (3n-2=19), (n=7). The slope is (n-6=1).

Step 3

Exam Tip

(3n-2=19) से (n=7) मिलता है। ढाल (n-6=1) है।

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Question 26/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=(t-9)x+(2t+1)) की ढाल (3) है। इसका (y)-अवरोध क्या है?

The line (y=(t-9)x+(2t+1)) has slope (3). What is its (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (25)

Step 1

Concept

From (t-9=3), (t=12). The (y)-intercept is (2t+1=25).

Step 2

Why this answer is correct

The correct answer is C. (25). From (t-9=3), (t=12). The (y)-intercept is (2t+1=25).

Step 3

Exam Tip

(t-9=3) से (t=12) मिलता है। (y)-अवरोध (2t+1=25) है।

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Question 27/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

कौन सी रेखा ( (0,-11) ) पर (y)-अक्ष काटती है और (x) के (5) बढ़ने पर (y) (40) बढ़ाती है?

Which line cuts the (y)-axis at ( (0,-11) ) and increases (y) by (40) when (x) increases by (5)?

Explanation opens after your attempt

Correct Answer

A. (y=8x-11)

Step 1

Concept

The slope is \(\frac{40}{5}=8\) and the (y)-intercept is (-11). So the line is (y=8x-11).

Step 2

Why this answer is correct

The correct answer is A. (y=8x-11). The slope is \(\frac{40}{5}=8\) and the (y)-intercept is (-11). So the line is (y=8x-11).

Step 3

Exam Tip

ढाल \(\frac{40}{5}=8\) है और (y)-अवरोध (-11) है। इसलिए रेखा (y=8x-11) है।

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Question 28/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

कौन सी रेखा ( (0,16) ) पर (y)-अक्ष काटती है और (x) के (6) बढ़ने पर (y) (42) घटाती है?

Which line cuts the (y)-axis at ( (0,16) ) and decreases (y) by (42) when (x) increases by (6)?

Explanation opens after your attempt

Correct Answer

B. (y=-7x+16)

Step 1

Concept

The slope is \(-\frac{42}{6}=-7\) and the (y)-intercept is (16). So (y=-7x+16) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=-7x+16). The slope is \(-\frac{42}{6}=-7\) and the (y)-intercept is (16). So (y=-7x+16) is correct.

Step 3

Exam Tip

ढाल \(-\frac{42}{6}=-7\) है और (y)-अवरोध (16) है। इसलिए (y=-7x+16) सही है।

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Question 29/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(a+7)x+(a-12)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

If (y=(a+7)x+(a-12)) passes through the origin, what will be its slope?

Explanation opens after your attempt

Correct Answer

C. (19)

Step 1

Concept

To pass through the origin, (a-12=0). Thus (a=12) and the slope is (a+7=19).

Step 2

Why this answer is correct

The correct answer is C. (19). To pass through the origin, (a-12=0). Thus (a=12) and the slope is (a+7=19).

Step 3

Exam Tip

मूल बिंदु से गुजरने के लिए (a-12=0) होगा। इसलिए (a=12) और ढाल (a+7=19) है।

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Question 30/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(2u-3)x+(u+5)) का (y)-अवरोध (14) है, तो ढाल क्या है?

If (y=(2u-3)x+(u+5)) has (y)-intercept (14), what is the slope?

Explanation opens after your attempt

Correct Answer

B. (15)

Step 1

Concept

From (u+5=14), (u=9). The slope is (2u-3=15).

Step 2

Why this answer is correct

The correct answer is B. (15). From (u+5=14), (u=9). The slope is (2u-3=15).

Step 3

Exam Tip

(u+5=14) से (u=9) मिलता है। ढाल (2u-3=15) है।

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Question 31/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (8x+3y-30=0) में (y)-अवरोध और ढाल कौन से हैं?

What are the (y)-intercept and slope in (8x+3y-30=0)?

Explanation opens after your attempt

Correct Answer

A. (y)-अवरोध (10), ढाल \(-\frac{8}{3}\)(y)-intercept (10), slope \(-\frac{8}{3}\)

Step 1

Concept

From (3y=-8x+30), \(y=-\frac{8}{3}x+10\). So the (y)-intercept is (10) and slope is \(-\frac{8}{3}\).

Step 2

Why this answer is correct

The correct answer is A. (y)-अवरोध (10), ढाल \(-\frac{8}{3}\) / (y)-intercept (10), slope \(-\frac{8}{3}\). From (3y=-8x+30), \(y=-\frac{8}{3}x+10\). So the (y)-intercept is (10) and slope is \(-\frac{8}{3}\).

Step 3

Exam Tip

(3y=-8x+30) से \(y=-\frac{8}{3}x+10\) मिलता है। इसलिए (y)-अवरोध (10) और ढाल \(-\frac{8}{3}\) है।

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Question 32/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=7x+b) और (y=-5x+9) (y)-अक्ष पर एक ही बिंदु काटती हैं, तो (b) क्या है?

If (y=7x+b) and (y=-5x+9) cut the (y)-axis at the same point, what is (b)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

The same (y)-axis point means equal (y)-intercepts. Therefore (b=9).

Step 2

Why this answer is correct

The correct answer is C. (9). The same (y)-axis point means equal (y)-intercepts. Therefore (b=9).

Step 3

Exam Tip

एक ही (y)-अक्ष बिंदु का अर्थ समान (y)-अवरोध है। इसलिए (b=9) है।

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Question 33/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=ax-10) और (y=9x+4) की ढालें समान हैं, तो (x=2) पर पहली रेखा का (y) क्या होगा?

If (y=ax-10) and (y=9x+4) have equal slopes, what is (y) on the first line at (x=2)?

Explanation opens after your attempt

Correct Answer

B. (8)

Step 1

Concept

Equal slopes give (a=9). Putting (x=2), (y=9(2)-10=8).

Step 2

Why this answer is correct

The correct answer is B. (8). Equal slopes give (a=9). Putting (x=2), (y=9(2)-10=8).

Step 3

Exam Tip

समान ढाल से (a=9) है। (x=2) रखने पर (y=9(2)-10=8) है।

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Question 34/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=-10x+c) का (y)-अवरोध (6) है। (x=-2) पर (y) क्या होगा?

The line (y=-10x+c) has (y)-intercept (6). What will (y) be at (x=-2)?

Explanation opens after your attempt

Correct Answer

C. (26)

Step 1

Concept

The (y)-intercept (6) gives (c=6). Putting (x=-2), (y=-10(-2)+6=26).

Step 2

Why this answer is correct

The correct answer is C. (26). The (y)-intercept (6) gives (c=6). Putting (x=-2), (y=-10(-2)+6=26).

Step 3

Exam Tip

(y)-अवरोध (6) से (c=6) है। (x=-2) रखने पर (y=-10(-2)+6=26) है।

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Question 35/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि रेखा (y=(k-4)x+3) (x) के (7) बढ़ने पर (y) (56) बढ़ाती है, तो (k) क्या है?

If the line (y=(k-4)x+3) increases (y) by (56) when (x) increases by (7), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

The slope is (k-4) and (7(k-4)=56). Therefore (k-4=8) and (k=12).

Step 2

Why this answer is correct

The correct answer is C. (12). The slope is (k-4) and (7(k-4)=56). Therefore (k-4=8) and (k=12).

Step 3

Exam Tip

ढाल (k-4) है और (7(k-4)=56)। इसलिए (k-4=8) और (k=12) है।

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Question 36/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि रेखा (y=-(p+3)x+18) (x) के (4) बढ़ने पर (y) (36) घटाती है, तो (p) क्या है?

If the line (y=-(p+3)x+18) decreases (y) by (36) when (x) increases by (4), what is (p)?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

The slope is (-(p+3)), and the decrease is (4(p+3)=36). So (p+3=9) and (p=6).

Step 2

Why this answer is correct

The correct answer is C. (6). The slope is (-(p+3)), and the decrease is (4(p+3)=36). So (p+3=9) and (p=6).

Step 3

Exam Tip

ढाल (-(p+3)) है और कमी (4(p+3)=36) होगी। इसलिए (p+3=9) और (p=6) है।

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Question 37/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (8y-5x=24) में (x=0) पर (y) का मान और ढाल क्या हैं?

In (8y-5x=24), what are the value of (y) at (x=0) and the slope?

Explanation opens after your attempt

Correct Answer

A. (y=3), ढाल \(\frac{5}{8}\)(y=3), slope \(\frac{5}{8}\)

Step 1

Concept

From (8y=5x+24), \(y=\frac{5}{8}x+3\). So at (x=0), (y=3) and the slope is \(\frac{5}{8}\).

Step 2

Why this answer is correct

The correct answer is A. (y=3), ढाल \(\frac{5}{8}\) / (y=3), slope \(\frac{5}{8}\). From (8y=5x+24), \(y=\frac{5}{8}x+3\). So at (x=0), (y=3) and the slope is \(\frac{5}{8}\).

Step 3

Exam Tip

(8y=5x+24) से \(y=\frac{5}{8}x+3\) मिलता है। इसलिए (x=0) पर (y=3) और ढाल \(\frac{5}{8}\) है।

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

यदि (y=mx+c) में (m+c=18) और (c=7), तो ढाल क्या है?

If (m+c=18) and (c=7) in (y=mx+c), what is the slope?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

Putting (c=7) gives (m+7=18). Therefore (m=11), which is the slope.

Step 2

Why this answer is correct

The correct answer is C. (11). Putting (c=7) gives (m+7=18). Therefore (m=11), which is the slope.

Step 3

Exam Tip

(c=7) रखने पर (m+7=18) मिलता है। इसलिए (m=11), जो ढाल है।

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

यदि (y=mx+c) में ढाल (-6) है और (m+c=4), तो (y)-अवरोध क्या है?

If the slope is (-6) and (m+c=4) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (10)

Step 1

Concept

Slope (-6) gives (m=-6). From (-6+c=4), (c=10), which is the (y)-intercept.

Step 2

Why this answer is correct

The correct answer is C. (10). Slope (-6) gives (m=-6). From (-6+c=4), (c=10), which is the (y)-intercept.

Step 3

Exam Tip

ढाल (-6) से (m=-6) है। (-6+c=4) से (c=10), जो (y)-अवरोध है।

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Question 40/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा \(y=\frac{4}{5}x+c\) बिंदु ( (10,15) ) से गुजरती है। (c) क्या है?

The line \(y=\frac{4}{5}x+c\) passes through ( (10,15) ). What is (c)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

Substituting the point gives (15=\frac{4}{5}(10)+c). So (15=8+c) and (c=7).

Step 2

Why this answer is correct

The correct answer is C. (7). Substituting the point gives (15=\frac{4}{5}(10)+c). So (15=8+c) and (c=7).

Step 3

Exam Tip

बिंदु रखने पर (15=\frac{4}{5}(10)+c) मिलता है। इसलिए (15=8+c) और (c=7) है।

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Question 41/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा (y=mx-5) बिंदु ( (12,1) ) से गुजरती है। (m) क्या है?

The line (y=mx-5) passes through ( (12,1) ). What is (m)?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

Substituting the point gives (1=12m-5). Thus (12m=6) and \(m=\frac{1}{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{2}\). Substituting the point gives (1=12m-5). Thus (12m=6) and \(m=\frac{1}{2}\).

Step 3

Exam Tip

बिंदु रखने पर (1=12m-5) मिलता है। इससे (12m=6) 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 38

यदि (y=(5a-2)x+(a+3)) का (y)-अवरोध (11) है, तो ढाल क्या है?

If (y=(5a-2)x+(a+3)) has (y)-intercept (11), what is the slope?

Explanation opens after your attempt

Correct Answer

A. (38)

Step 1

Concept

From (a+3=11), (a=8). The slope is (5a-2=38).

Step 2

Why this answer is correct

The correct answer is A. (38). From (a+3=11), (a=8). The slope is (5a-2=38).

Step 3

Exam Tip

(a+3=11) से (a=8) मिलता है। ढाल (5a-2=38) है।

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Question 43/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(b-11)x+(2b+5)) की ढाल (2) है, तो (y)-अवरोध क्या है?

If (y=(b-11)x+(2b+5)) has slope (2), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

A. (29)

Step 1

Concept

From (b-11=2), (b=13). The (y)-intercept is (2b+5=31), so option (C) is correct.

Step 2

Why this answer is correct

The correct answer is A. (29). From (b-11=2), (b=13). The (y)-intercept is (2b+5=31), so option (C) is correct.

Step 3

Exam Tip

(b-11=2) से (b=13) मिलता है। (y)-अवरोध (2b+5=31) नहीं, (31) है।

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Question 44/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

समीकरण (5x-6y+18=0) की ढाल और (y)-अवरोध क्या हैं?

What are the slope and (y)-intercept of (5x-6y+18=0)?

Explanation opens after your attempt

Correct Answer

A. ढाल \(\frac{5}{6}\), (y)-अवरोध (3)Slope \(\frac{5}{6}\), (y)-intercept (3)

Step 1

Concept

From (-6y=-5x-18), \(y=\frac{5}{6}x+3\). So the slope is \(\frac{5}{6}\) and the (y)-intercept is (3).

Step 2

Why this answer is correct

The correct answer is A. ढाल \(\frac{5}{6}\), (y)-अवरोध (3) / Slope \(\frac{5}{6}\), (y)-intercept (3). From (-6y=-5x-18), \(y=\frac{5}{6}x+3\). So the slope is \(\frac{5}{6}\) and the (y)-intercept is (3).

Step 3

Exam Tip

(-6y=-5x-18) से \(y=\frac{5}{6}x+3\) मिलता है। इसलिए ढाल \(\frac{5}{6}\) और (y)-अवरोध (3) है।

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Question 45/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=(t+4)x-8) और (y=12x+(2t-5)) की ढालें समान हैं, तो दूसरी रेखा का (y)-अवरोध क्या है?

If (y=(t+4)x-8) and (y=12x+(2t-5)) have equal slopes, what is the (y)-intercept of the second line?

Explanation opens after your attempt

Correct Answer

A. (11)

Step 1

Concept

Equal slopes give (t+4=12) and (t=8). The second line's (y)-intercept is (2t-5=11).

Step 2

Why this answer is correct

The correct answer is A. (11). Equal slopes give (t+4=12) and (t=8). The second line's (y)-intercept is (2t-5=11).

Step 3

Exam Tip

समान ढाल से (t+4=12) और (t=8) है। दूसरी रेखा का (y)-अवरोध (2t-5=11) है।

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Question 46/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=4x+(v-7)) और (y=(v+3)x+5) का (y)-अवरोध समान है, तो दूसरी रेखा की ढाल क्या है?

If (y=4x+(v-7)) and (y=(v+3)x+5) have the same (y)-intercept, what is the slope of the second line?

Explanation opens after your attempt

Correct Answer

C. (15)

Step 1

Concept

Equal (y)-intercepts give (v-7=5) and (v=12). The slope of the second line is (v+3=15).

Step 2

Why this answer is correct

The correct answer is C. (15). Equal (y)-intercepts give (v-7=5) and (v=12). The slope of the second line is (v+3=15).

Step 3

Exam Tip

समान (y)-अवरोध से (v-7=5) और (v=12) है। दूसरी रेखा की ढाल (v+3=15) है।

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Question 47/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

रेखा \(y=-\frac{5}{3}x+14\) में (y) को (40) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{5}{3}x+14\), how much should (x) increase to decrease (y) by (40)?

Explanation opens after your attempt

Correct Answer

C. (24)

Step 1

Concept

The decrease is \(\frac{5}{3}\Delta x\). From \(\frac{5}{3}\Delta x=40\), \(\Delta x=24\).

Step 2

Why this answer is correct

The correct answer is C. (24). The decrease is \(\frac{5}{3}\Delta x\). From \(\frac{5}{3}\Delta x=40\), \(\Delta x=24\).

Step 3

Exam Tip

कमी \(\frac{5}{3}\Delta x\) होगी। \(\frac{5}{3}\Delta x=40\) 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 38

यदि (y=(k+6)x+1) (x) के (4) बढ़ने पर (y) (52) बढ़ाती है, तो (k) क्या है?

If (y=(k+6)x+1) increases (y) by (52) when (x) increases by (4), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The slope is (k+6) and (4(k+6)=52). Therefore (k+6=13) and (k=7).

Step 2

Why this answer is correct

The correct answer is C. (7). The slope is (k+6) and (4(k+6)=52). Therefore (k+6=13) and (k=7).

Step 3

Exam Tip

ढाल (k+6) है और (4(k+6)=52)। इसलिए (k+6=13) और (k=7) है।

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Question 49/50 Expert Mathematics Introduction to Polynomials Slope and y-intercept Class 9 Level 38

यदि (y=mx+c) में (c=-12) और (m-c=21), तो ढाल क्या है?

If (c=-12) and (m-c=21) in (y=mx+c), what is the slope?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

Putting (c=-12) gives (m-(-12)=21). So (m+12=21) and (m=9).

Step 2

Why this answer is correct

The correct answer is C. (9). Putting (c=-12) gives (m-(-12)=21). So (m+12=21) and (m=9).

Step 3

Exam Tip

(c=-12) रखने पर (m-(-12)=21) मिलता है। इसलिए (m+12=21) और (m=9) है।

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

यदि (y=mx+c) में (m=-4) और (2c+m=18), तो (y)-अवरोध क्या है?

If (m=-4) and (2c+m=18) in (y=mx+c), what is the (y)-intercept?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

Putting (m=-4) gives (2c-4=18). Thus (2c=22) and (c=11).

Step 2

Why this answer is correct

The correct answer is C. (11). Putting (m=-4) gives (2c-4=18). Thus (2c=22) and (c=11).

Step 3

Exam Tip

(m=-4) रखने पर (2c-4=18) मिलता है। इससे (2c=22) और (c=11) है।

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

समीकरण (12x+4y=32) 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=(2k-5)x+7) की ढाल (13) है, तो (k) क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरण (5y=15x-40) का (y)-अवरोध क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=-5x+c) बिंदु ( (4,-11) ) से गुजरती है। इसका (y)-अवरोध क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=mx-9) बिंदु ( (-3,6) ) से गुजरती है। इसकी ढाल क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरण (7x-2y=18) की ढाल क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (ay=30x-45) की ढाल (5) है, तो (a) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (ky=24x-72) का (y)-अवरोध (-12) है, तो (k) क्या है?

Concept

Why this answer is correct

Exam Tip

रेखा (y=(3p+1)x-4) की ढाल (22) है। (p) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (y=(r+6)x+(r-3)) मूल बिंदु से गुजरती है, तो इसकी ढाल क्या होगी?

Concept

Why this answer is correct

Exam Tip

समीकरण (15x+5y-50=0) में ढाल और (y)-अवरोध क्या हैं?

Concept

Why this answer is correct

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समीकरण (6x-3y+15=0) का (y)-अवरोध क्या है?

Concept

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यदि दो रेखाएं (y=(q-4)x+11) और (y=8x-5) समान ढाल रखती हैं, तो (q) क्या है?

Concept

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यदि (y=-8x+s) और (y=5x-13) का (y)-अवरोध समान है, तो (s) क्या होगा?

Concept

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यदि (y=(a+5)x+a) में ढाल और (y)-अवरोध का अंतर (5) है, तो कौन सा कथन सही है?

Concept

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रेखा (y=5x+b) बिंदुओं ( (1,12) ) और ( (4,27) ) से गुजरती है। (b) क्या है?

Concept

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रेखा (y=mx+2) बिंदुओं ( (3,17) ) और ( (6,32) ) से गुजरती है। (m) क्या है?

Concept

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यदि (y=(k-7)x+6) और (y=4x+(k-1)) की ढालें समान हैं, तो (k) क्या है?

Concept

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Exam Tip

यदि (y=(m+1)x-6) और (y=7x+(m-10)) का (y)-अवरोध समान है, तो (m) क्या है?

Concept

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Exam Tip

रेखा (y=-6x+20) में (x) कितने बढ़ाने पर (y) (42) घटेगा?

Concept

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यदि (y=(m+1)x-6) और (y=7x+(m^-10)) का (y)-अवरोध समान है, तो (m) क्या है?