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#