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: