Question 1118150
Too many separate questions.


(d):

Slope for AB is {{{4/3}}}.
Slope for any line perpendicular to AB is {{{-3/4}}}.


Midpoint of AB is at {{{x=(7+(-5))/2=1}}}, and {{{y=(9+(-7))/2=1}}}
or, point (1,1).


Perpendicular bisector for segment AB is line with the equation {{{y-1=-(3/4)(x-1)}}}.


(c):

Slope for AC is  {{{-12/5}}}.  Any line perpendicular in same plane is of slope  {{{5/12}}}.


Altitude through B(-5,-7) is {{{y+7=(5/12)(x+5)}}}.