Answer
Parallel
Work Step by Step
$y=-2x+3$
$2x+y=7$
First, we must convert the second equation into slope intercept form.
To do this, we subtract $2x$ from each side of the equation: $y=-2x+7$
Two non-vertical lines are parallel if their slopes are equal and their $y$-intercepts are different. Both of these equations have slopes of $-2$, and their $y$-intercepts are $3$ and $7$, which are different. Therefore, they are parallel lines.
