Given:
Two points are A(-7,2) and B(3,4).
To find:
The perpendicular bisector of AB.
Solution:
Slope formula:

Slope of AB is




Procut of slopes of perpendicular line is -1.
So, slope of perpendicular bisect is opposite of reciprocal of
.

Midpoint of AB is




Slope of perpendicular bisector is -5 and it passes through (-2,3), so the equation of perpendicular bisector is

where, m is slope.



Add 3 on both sides.


Therefore, the equation of perpendicular bisector is
.