Answer :

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.


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