SOLUTION: Find a general form of an equation for the perpendicular bisector of the segment AB. A(8, 4), B(−4, 14)

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Question 662787: Find a general form of an equation for the perpendicular bisector of the segment AB.
A(8, 4), B(−4, 14)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

segment AB.

A (8, 4), 

B(-4, 14)  m = (4-14)/(8-(-4)) = -10/12 = -5/6



perpendicular bisector;  m = 6/5

y = (6/5)x + b   || using (x,y) ordered pair (8,4) to solve for b

4=%286%2F5%29%2A8+%2B+b

  20/5-48/5 = -28/5 = b

y+=+%286%2F5%29x+-28%2F5    0r    6x-5y = 28