The point-slope form of a line:
[tex]y-y_1=m(x-x_1)[/tex]
We have the slope m = -4 and the point (8, -7). Substitute:
[tex]y-(-7)=-4(x-8)[/tex] use distributive property
[tex]y+7=-4x+32[/tex] subtract 7 from both sides
[tex]y=-4x+25[/tex] add 4x to both sides
[tex]\boxed{4x+y=25}[/tex]
