SOLUTION: find the equation of the perpendicular bisect of AB given that A is (2,7) and B is (6,-1).

Question 1127763: find the equation of the perpendicular bisect of AB given that A is (2,7) and B is (6,-1).
Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!

find the equation of the perpendicular bisect of given that is (,) and is (,).
first find equation of a line passing through points
(,) and (,)
where is a slope and is y-intercept

....plug in (,)

so,
recall that the perpendicular line will have a slope negative reciprocal to a slope of this line
so,

the perpendicular bisect of , we can find coordinates o midpoint of
(,) and (,)
(,)
=>(,)
-> the perpendicular bisect is passing through (,), use it to find y-intercept

and equation is:

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