Question

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

Answer 1

Answer:

Step-by-step explanation:

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

slope of line ⊥ to given line=-1/(-1)=1

To find mid point of M and N

$x=\frac{1+7}{2} =4\\y=\frac{5+(-1)}{2} =2$

eq. of perpendicular bisector is

y-2=1(x-4)

y=x-4+2

or y=x-2