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Question

# Match the lines given on the left side with their corresponding slopes on the right.. Line passes through the pointsSlope of the linep.)(1, 6) and (−4, 2)1.) 0q.)(5, 9) and (2, 9)2.) −3r.)(−2, −1) and (−3,2)3.) 45s.)(4,0) and (3,3)4.) 53

A

p - 3 q - 1 r - 2 s - 4

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B

p - 3 q - 1 r - 2 s - 2

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C

p - 1 q - 3 r - 1 s - 2

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D

p - 1 q - 3 r - 2 s - 2

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Solution

## The correct option is B p - 3 q - 1 r - 2 s - 2 By definition slope of the line is m=tanθ where θ is angle made by line from +ve x-axis If A(x1,y1) and B(x2,y2), where x1≠x2 are the points on a straight line, then the slope m of the line is given by m=y2−y1x2−x1 1. A(1,6) and B(-4,2) Slope of AB =2−6−4−1=−4−5=45 2. A(5,9) and B(2,9) Slope of the line =9−92−5=0−3=0 3. A(-2,-1) and B(-3,2) Slope of the line =2+1−3+2=3−1=−3 4. A(4,0) and B(3,3) Slope of the line =3−03−4=−3

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