Question 996413
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.


{{{m[p]=-((4-(-2))/(-3-5))}}}
{{{-((6)/(-8))}}}
{{{6/8}}}
{{{highlight_green(3/4)}}}


Bisector must pass through the midpoint of line AB.
{{{system(x=(4-2)/2=1,y=(-3-5)/2=-4)}}}
Midpoint being  (1,-4).


Find the line of slope {{{3/4}}} and containing point (1,-4).



RESULT:  {{{highlight(y=(3/4)x-19/4)}}}


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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!