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Question 413566: Hello, I am stuggling with this co-ordinate geometry problem. Any help is greatly appreciated!
Find the equation of the perpendicular bisector of the interval joining (-5,2) and (3,-4). Leave your answer in general form.
Thank you so much for your time and consideration!
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
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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