SOLUTION: Dear Math Tutor, Please help me: Find the equation of the perpendicular bisector of the line (2,-5) and (-4,3) With Gratitude, Nats

Algebra ->  Coordinate-system -> SOLUTION: Dear Math Tutor, Please help me: Find the equation of the perpendicular bisector of the line (2,-5) and (-4,3) With Gratitude, Nats      Log On


   



Question 871120: Dear Math Tutor,
Please help me: Find the equation of the perpendicular bisector of the line (2,-5) and (-4,3)
With Gratitude,
Nats

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
There are several steps to solving this problem.
Find the slope of the line that connects the two points.
find the slope of a line perpendicular
Find the midpoint of the line segment.
Find an equation of a line that goes through the midpoint and is perpendicular
using the point and slope
y = -(4x)/3-7/3
slope =-4/3
perpendicular slope is 3/4
midpoint (-1, -1)
y=mx+b
-1=-3/4*+b
b=-1/4
y=3x/4-1/4