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 = [tex] \frac{1}{3} [/tex]x + 1
You can see that both lines have a slope of [tex] \frac{1}{3} [/tex].
Lines that have the same slope are parallel lines.
