# Equation of the Right Bisector of a Line

Let and be the ends of a segment, then the slope of the line joining and is

The midpoint of the segment can be found as

The slope of any line perpendicular to the segment is

The equation of the perpendicular bisector of the segment being the equation of a line through and perpendicular to using the slope-point form is

Example: Find the equation of the perpendicular bisector of and .

The equation of the perpendicular bisector of is

Putting all these values in the equation, we have