Answer
y=-3x-8
Work Step by Step
3x+y=6
3x-3x+y=-3x+6
y=-3x+6
For the given equation above, m=-3. Since they are parallel, the desired line will also have this slope.
y-y$_1$=m(x-x$_1$)
y-(-5)=-3(x-(-1))
y+5=-3(x+1)
y+5=-3(x)-3(1)
y+5=-3x-3
y+5-5=-3x-3-5
y=-3x-8