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#