SOLUTION: Please help me with this problem. Find a general form of an equation for the perpendicular bisector of the segment AB. A (4,-3) B (-2,5) (Answer) = -1

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Question 996413: Please help me with this problem.
Find a general form of an equation for the perpendicular bisector of the segment AB.
A (4,-3) B (-2,5)
(Answer) = -1
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
A (4,-3) , B (-2,5)
The slope of Find the negative reciprocal of the slope of line AB, because
a line with such slope will be perpendicular to line AB.






Bisector must pass through the midpoint of line AB.

Midpoint being (1,-4).

Find the line of slope and containing point (1,-4).


RESULT:

--
YOU ASKED FOR GENERAL FORM EQUATION OF THE LINE, SAME AS SLOPE-INTERCEPT FORM, SAME AS FUNCTION FORM. THAT IS THE FORM OF THE ANSWER WHICH I GAVE. If you want a different form than that, then YOU change it!
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Please help me with this problem.
Find a general form of an equation for the perpendicular bisector of the segment AB.
A (4,-3) B (-2,5)
(Answer) = -1
Slope of line AB: 

Slope of perpendicular bisector: 

Line of the perpendicular bisector will intersect AB at its midpoint, or coordinate point: (1, 1)

With m, or slope = , and point (1, 1), equation of perpendicular bisector to AB is:  ------>  -------> 

  ------ Multiplying by LCD, 4

3x - 4y - 3 + 4 = 0 -------->  

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