SOLUTION: Write an equation in point slope form for the perpendicular bisector of the segment with the given end points m(-5,4),N(1,-2)

Question 960330: Write an equation in point slope form for the perpendicular bisector of the segment with the given end points m(-5,4),N(1,-2)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
First find the equation of the line through the two points.
Find the slope,

Perpendicular lines have slopes that are negative reciprocals.

Where , is a point on the original line.
You can simplify since you know the equation of the original line.

So now for any value of , you know the equation of the perpendicular line.

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