Question

Which statement describes the lines whose equations are y=1/3x+12 and 6y=2x+6

Answer 1

First, you should solve both equations for the same variable. Since the first one is already solved for y, solve the second equation for y as well.

6y = 2x + 6   Divide both sides by 6
y = $\frac{1}{3}$x + 1

You can see that both lines have a slope of $\frac{1}{3}$.
Lines that have the same slope are parallel lines.