A line passes through #(4 ,3 )# and #(1 ,4 )#. A second line passes through #(5 ,6 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
Apr 9, 2016
One possible point:
Explanation:
A line passing through
has a slope of
If a line passing through
Therefore for any point
or
or
For an easy to determine point, let
So another point on this second line would be
graph{((x-4)^2+(y-3)^2-0.02)((x-1)^2+(y-4)^2-0.02)((x-5)^2+(y-6)^2-0.02)(x+3y-13)(x+3y-23)=0 [-5.25, 14.75, -0.626, 9.37]}