A line segment is bisected by line with the equation # 3 y - 3 x = 1 #. If one end of the line segment is at #(2 ,5 )#, where is the other end?
The perpendicular to
Let's find where these meet. Subtracting equations,
So one endpoint is
The midpoint is
Check the midpoint
Check perpendicularity. The y intercept is
Zero dot product means perpendicularity.