Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

Answer 1

m = (-5 - 1)/(2-4) = 3

m' = -1/m = -1/3

y = -x/3 + b

find point on original line halfway between

x = (4 +2 )/2 = 3
y = (1 - 5)/2 = -2

so
-2 = -3/3 + b
b = -1
so
y = -x/3 - 1

3 y = -x - 3