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Question

Find the value of p if the line passing through the points (3,p) and (2,7) is parallel to the line passing through the points (-1,4) and (0,6).

A
7
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B
8
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C
9
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D
10
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Solution

The correct option is C 9
Equation of the line passing through the points (x1,y1) and (x2,y2) is given by y2y1=m(x2x1), where m is the slope of the line.
We know that, the slope of the parallel lines are equal. Hence, we must have
m1=m2, where m1 is the slope of the line passing through (3,p) and (2,7) and m2 is the slope of the line passing through (1,4) and (0,6).
7p23=640+1 7p1=21
7p=2
p=7+2
p=9

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