Find an equation for the perpendicular bisector of the line segment whose endpoints are (-5,5) and -9,-9

y= 3.5x+22.5

Step-by-step explanation:

The standard equation of a line a expressed as y = MX+c

m is the slope

c is the y-intecept

Get the slope

m = y2-y1/x2-x1

m = -9-5/-9+5

m = -14/-4

m = 7/2

Get the y- intercept

Substitute any of the point say (-5,5) and m = 7/2 into the equation y = MX+c

5 = 7/2(-5)+c

5= -35/2+c

5 =-17.5+c

c = 5+17.5

c =22.5

Get the required equation

Recall that y = MX+c

y= 3.5x+22.5

i hope this is what you were looking for.

see attached graph