Answer
Parallel
Work Step by Step
We know that $y=mx+b$, where m is the slope and b is the y-intercept. Using this, we find that the second equation in slope intercept form is:
$$ 3x+3y=7\\ y=\frac{7-3x}{3} \\ y=\frac{7}{3}-x$$
The slopes are both $-1$, so the lines are parallel.
