Question

Line l is perpendicular to the graph of the equation -3x - 4y = 7 and contains the point (4, -4). Find the equation for l.

Answer 1

-3x-4y=7 rearrange
y=-3/4(x)-7/4
m1=-3/4 =original gradient
gradient for perpendicular line
m1*m2=-1
(-3/4)*m2=-1
m2=4/3
then
y=mx+c
insert (4,-4) and m2=4/3
-4=(4/3)(4)+c
c=-28/3
I equation
y=(4/3)x-28/3
or
3y=4x-28

Answer 2

3y=4x-28 is in the standard form