3y = 12 - 2x
y = 4 - 2/3x
The slope is -2/3, so the parallel line slope is also -2/3.
y =-2/3x+b
Now we can just plug (-4, 7) in.
7 =-2/3(-4) +b
7 = 8/3 + b
21/3 = 8/3 + b
13/3 = b
So our final equation is y = -2/3x+13/3
I hope this helped. :))
=^._.^=