SOLUTION: Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

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Question 1038413: Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).



Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Slope of the given points: %281-%28-5%29%29%2F%284-2%29=6%2F2=3
Slope of any line perpendicular to line defined by the two given points, -1%2F3.

Bisector of the SEGMENT of the two given points:
system%28x=%284%2B2%29%2F2=3%2Cy=%281-5%29%2F2=-4%2F2=-2%29
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The point (3,-2).


WANTED REQUESTED Perpendicular Bisector line:
highlight%28y%2B2=-%281%2F3%29%28x-3%29%29
which is in point-slope form. You can change the form depending how you want it to be.