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?

Question

1373 views around the world

You can reuse this answer
Creative Commons License

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)#