SOLUTION: Write the equation of the perpendicular bisector of the segment joining the points with coordinates of (-3,4) and (5, -2)

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Question 1089247: Write the equation of the perpendicular bisector of the segment joining the points with coordinates of (-3,4) and (5, -2)
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The given segment has the slope m = %28dy%29%2F%28dx%29 = %28-2+-4%29%2F%285-%28-3%29%29 = -6%2F8 = -3%2F4.

The middle point of the given segment is (1,1).

So, we need to write the equation of the line perpendicular to the given segment and passing through the point (1,1).

The perpendicular line has the slope 4%2F3 and its equation is

y - 1 = %284%2F3%29%2A%28x-1%29,   or

3y - 3 = 4x - 4,   or

3y - 4x = -1.