Write the equation of the line that is parallel to 3y=x+12 and that passes through the point (6,-8)

Answer 1

Parallel lines have equal slopes. The slope of the given line is

m = 1/3

So the equation of a parallel line is

y = (1/3)x + b

Use the given point to find b.

-8 = (1/3)(6) + b

Solve for b and you are done.