How do you find the equation of the perpendicular bisector of the segment joining the points A #(6, -3)# and B #(-2, 5)#?
From Geometry, we know that the perpendicular bisector (p.b.) of a
line segment (sgmt.) is the line passing through its mid-point (m.p.) &
perpendicular to the sgmt.
Let us denote, by
Using the Slope-Point Form of line for the p.b., we get its eqn.
We use the following Geometrical Property of the p.b. of a line sgmt.