Algebra 1

$y=-2x+3$ $2x+y=7$ 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.