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Question

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

A

9

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B

-9

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C

6

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D

-6

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Solution

The correct option is A

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,y) and (2,7) and m2 is the slope of the line passing through (1,4) and (0,6).
7y23=640+1 7y1=21
y=9

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