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

y=-7/2x+25/2

Explanation:

Find slope of first line m = y2-y2 / x2-x1

-9-(-5) / -9-5 = -4/-14 = 2/7

Perpendicular slope of 2/7 = -7/2

y=-7/2x+b

Plug one of the coordinates into equation to find the value of b

-5=-7/2(5)+b

-5=-35/2+b

-10/2+35/2=b

b=25/2

Therefore the equation is y=-7/2x+25/2

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