Given: A (1, 3) and B (3, 1) be the points joining the perpendicular bisector

To find:

The equation of the perpendicular bisector of the line joining the points (1, 3) and (3, 1).

Explanation:

Let C be the midpoint of AB.

∴ coordinates of c

Slope of AB

∴ Slope of the perpendicular bisector of AB = 1

Thus, the equation of the perpendicular bisector of AB is

y – 2 = 1(x – 2)

⇒ x – y = 0

Or, y = x

Hence, the equation is y = x.