A line passes through #(2 ,4 )# and #(7 ,5 )#. A second line passes through #(3 ,5 )#. 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 · 2017-11-22T12:25:21

#(1 , 22/5 )#

If two lines are parallel, then they have the same gradient. Gradient of the first line:

#(5-4)/(7-2)=1/5#

Equation of second line:

#y-5=1/5(x-3)=>y=1/5x+22/5#

The second line will pass through any points of #y=1/5x+22/5#

Let #x=1#

#y=1/5(1)+22/5=23/5#

Coordinates of second point:

#(1 , 22/5 )#