Write an equation of the perpendicular bisector of the segment with endpoints M(1,5) and N(7,−1).

Guest Mar 17, 2021

#1**0 **

The perpendicular bisector of a line segment goes through the midpoint and has slope which is the negative reciprocal of the slope of the line segment.

So, a point on the perpendicular bisector is ((1+7)/2, (5-1)/2) = (4, 2)

Slope of MN = (-1-5) / (7-1) = -6/6 = -1

Slope of perpendicular bisector = -1(1/(-1)) = 1

Equation of perpendicular bisector: y - 2 = 1(x - 4)

y = x - 2

owentout Mar 17, 2021