Answer:
A= 3/2, B = 1, C = -14
Step-by-step explanation:
Using the point-slope form we can plug in your point and slope.
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=-3/2(x-(-8))[/tex]
[tex]y+2=-3/2(x+8)[/tex]
Distribute -3/2
[tex]y+2=-3/2x-3/2*8[/tex]
[tex]y+2=-3/2x-12[/tex]
Get y by itself by subtracting 2 to both side.
[tex]y=-3/2x-14[/tex]
[tex]3/2x+y=-14[/tex]
A = 3/2 , B = 1 , C= -14
