Question: Find the perpendicular bisector of the line segment with endpoints (5,2) and (-3,6).
I don't remember the procedure to do this.
For example, the slope of your line is:
So the slope of the perpendicular bisector is
I'm not quite sure if I found the right explanation:
Perpendicular bisector passes through the midpoint of the line and has the perpendicular direction:
M((5+(-3))/2,(2+6)/2). So M(1,4)
The slope of the perpendicular bisector has been calculated by topsquark.
Now use point-slope-formula of a straight line:
. Solve for y: