A line passes through #(8 ,2 )# and #(6 ,7 )#. A second line passes through #(3 ,8 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
Jul 21, 2017
Infinite points given by
Explanation:
As the first line passes through
Let the other point be
Hence
or
i.e.
or
Hence the point
Observe that by changing various values of
graph{((x-8)^2+(y-2)^2-0.02)((x-6)^2+(y-7)^2-0.02)((x-3)^2+(y-8)^2-0.02)(5x+2y-31)(5x+2y-44)=0 [-6.38, 13.62, 0, 10]}