A line passes through $(2 ,8 )$ and $( 7, 2 )$ . A second line passes through $( 6, 1 )$ . 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 · 2018-02-04T10:28:19

One other point on Line CD is $color(green)(1,7)$

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Slope of AB = Slope of CD = $m = (2-8) / (7-2) = -6/5$

Equation of line CD is

$y - 1 = -(6/5) (x - 6)$

$5y - 5 = -6x + 36$

$5y + 6x = 41$

Let x = 1. Then y = (41 - 6)/5 = 7#

A line passes through (2 ,8 )(2 ,8 ) and ( 7, 2 )( 7, 2 ). A second line passes through ( 6, 1 )( 6, 1 ). What is one other point that the second line may pass through if it is parallel to the first line?