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

B

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

C

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

D

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

Solution

## The correct option is C 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 Mathematics

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