A line passes through $(5 ,0 )$ and $(7 ,3 )$ . A second line passes through $(3 ,1 )$ . What is one other point that the second line may pass through if it is parallel to the first line?

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Answer 1 · 2016-05-06T12:26:43

see below

First, find the gradient of lines that across $(5,0)$ and $(7,3)$ using formula $m=(y_2-y_1)/(x_2-x_1)$

$m=3/2$

then gradient of two lines should be same since parallel.

Then using straight line equation where is $y-y_1=m(x-x_1)$ then we will get $y=3/2x-7/2$

Use any value to assign into straight line equation. In this case, I will assume $x=0$ then $y=-7/2$

Conclusion the point is $(0,-7/2)$

A line passes through (5 ,0 )(5 ,0 ) and (7 ,3 )(7 ,3 ). A second line passes through (3 ,1 )(3 ,1 ). What is one other point that the second line may pass through if it is parallel to the first line?