SOLUTION: the line UV has equation 5x-2y=7.the point U has coordinates (1,-1) and the point V has coordinates (3,r),find in general form ,the equation of the perpendicular bisector of UV

Question 1085416: the line UV has equation 5x-2y=7.the point U has coordinates (1,-1) and the point V has coordinates (3,r),find in general form ,the equation of the perpendicular bisector of UV
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Solving for y, UV has the equation
Using the above, we can plug in x=3 in order to find r:
y = (5/2)(3) - 7/2
y = 15/2 - 7/2 = 8/2 = 4
So r=4, or equivalently, V is at (3,4).
Let the line MN be the perpendicular bisector of UV, and let M be the midpoint of UV.
Line MN has slope -2/5 (for y=mx+b, a line perpendicular Y=MX+B will always have slope M=-1/m).
So far for MN we have
We just need b.
To find b, we need M: M is at the midpoint of UV: ( , ) or
( , )
Now plug in x & y and solve for b: �>
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Ans: The perpendicular bisector of UV has equation

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