Question

write the equation of the line parallel to x-3y=-12 and through the point (-3,4)

Answer 1

Solving the equation x-3y=-12 for y, you get y = (x+12)/(-3)...

Clean it up a bit and you'll get

From there, we know they're parallel so the slops must be the same for the new equation and we get a generic y = (-1/3) x + b

To find your b value, you plug in the coordinates they gave (-3,4) and find
b = 3

The equation would be y = (-1/3) x + 3