# How do you find the equation that is the perpendicular bisector of the line segment with endpoints #(-2, 4)# and #(6, 8)#?

##### 1 Answer

Jul 22, 2016

Equation of the perpendicular bisector:

#### Explanation:

First we need to find the slope of the line joining these points:

The line perpendicular to this will have

We also need the co-ordinates of the midpoint.

Use the formula for slope and one point:

Equation of the perpendicular bisector: