A line passes through #(5 ,8 )# and #(2 ,9 )#. A second line passes through #(1 ,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 · 2016-03-28T03:22:50

One other point is #(16,0)#

First we need to find the equation of the line passes through (5,8) and (2,9).The equation is

#y = 29/3-x/3#

The slope is #-1/3# so that is the slope of the requested line hence

#y=-1/3x+b#

Point #(x=1,y=5)# satisfies the above equation hence

#5=-1/3*1+m=>m=5+1/3=>m=16/3#

Last the equation is

#y=-x/3+16/3#

Hence one other point is #(16,0)#