A line passes through $(2 ,3 )$ and $( 4, 2 )$ . A second line passes through $( 7, 4 )$ . 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 · 2018-04-01T08:50:20

One other point can have coordinates $(9,3), (13,1),(5,5)$ and so on which will give rise to a slope of $m = -1/2$

Parallel lines will have the same slope.

Slope is given by the formula

$m = (y_2 - y_1) / (x_2 -x_1)$

First line will have the slope $m = (3-2) / (2-4) = -1/2$

Second line will also have the same slope $m = -1/2$

$:. m = -1/2 = (y_2 - 4) / (x_2 - 7)$

Hence the second point can have coordinates $(9,3), (13,1),(5,5)$ and so on which will give rise to a slope of $m = -1/2$

A line passes through (2 ,3 )(2 ,3 ) and ( 4, 2 )( 4, 2 ). A second line passes through ( 7, 4 )( 7, 4 ). What is one other point that the second line may pass through if it is parallel to the first line?