A line passes through $(2 ,8 )$ and $( 1, 5 )$ . A second line passes through $( 6, 8 )$ . 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 · 2016-10-28T12:44:08

$color(green)(""(5,5))$

$(6,8)$ is $4$ units to the right of $(2,8)$
$4$ units to the right of $(1,5)$ would be $(1+4,5)=(5,5)$

We could verify that these pairs form parallel lines by checking that their slopes are equal.

$"Slope " (2,8):(1,5) = (8-5)/(2-1)=3$

$"Slope " (6,8):(5,5) = (8-5)/(6-5)=3$

A line passes through (2 ,8 )(2 ,8 ) and ( 1, 5 )( 1, 5 ). A second line passes through ( 6, 8 )( 6, 8 ). What is one other point that the second line may pass through if it is parallel to the first line?