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
<pre>Slope of line AB: {{{- 4/3}}}
Slope of perpendicular bisector: {{{3/4}}}
Line of the perpendicular bisector will intersect AB at its midpoint, or coordinate point: (1, 1)
With m, or slope = {{{3/4}}}, and point (1, 1), equation of perpendicular bisector to AB is: {{{y - y[1] = m(x = x[1])}}} ------> {{{y - 1 = (3/4)(x - 1)}}} -------> {{{y - 1 = (3/4)x - 3/4}}}
{{{4y - 4 = 3x - 3}}}  ------ Multiplying by LCD, 4
3x - 4y - 3 + 4 = 0 --------> {{{highlight_green(3x - 4y + 1 = 0)}}}