#### Answer

y=-6x-31

#### Work Step by Step

6x+y=8
6x-6x+y=-6x+8
y=-6x+8
For the given equation above, m=-6. Since they are parallel, the desired line will have the same slope.
y-y$_1$=m(x-x$_1$)
y-(-7)=-6(x-(-4))
y+7=-6(x+4)
y+7=-6x-6(4)
y+7=-6x-24
y+7-7=-6x-24-7
y=-6x-31