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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 x1x2 are the points on a straight line, then the slope m of the line is given by m=y2y1x2x1

1. A(1,6) and B(-4,2)
Slope of AB =2641=45=45

2. A(5,9) and B(2,9)
Slope of the line =9925=03=0

3. A(-2,-1) and B(-3,2)
Slope of the line =2+13+2=31=3

4. A(4,0) and B(3,3)
Slope of the line =3034=3


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