Hi

Find the equation of the perpendicular bisector of the interval joining 

(-5,2) and (3,-4). 

Determining the slope of the line containing this segment: 

(-5,2) and 

(3,-4)  m = 6/-8 = -3/4                   | 

Finding the Midpoint of the segment

(-5,2) and 

(3,-4   Midpoint is Pt(-1,-1)             | (, )

Line perpendicular(slope m = 4/3) passing thru Pt(-1,-1)

  y = (4/3)x + b  |using ordered pair pt(-1,-1) to solve for b

 -1 = -4/3 + b

 1/3 = b

   y = (4/3)x + 1/3  OR 4x - 3y = -1 in standard form.



 

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