Question

Write an equation of the line that passes through (-5,-1) and is parallel to the line y=-3x+6

Answer 1

The only thing that will change is the constant, since the slope has to stay at -3
so the new equation is y = -3x + b
plug in your new point (-5,-1)
-1 = -3(-5) + b
-1 = 15 + b
-16 = b

so your new equation is y = -3x - 16

Answer 2

your line has slope of -3
So, now you have a point and a slope, so use the point-slope form of the new line:

y+1 = -3(x+5)