## Algebra 1

$-\frac{2}{3}$
In order for two non-vertical lines to be parallel, they must have the same slope. Therefore, to find the slope of a line parallel to this one, we must identify the slope of this one. The slope-intercept form of a linear equation of a non vertical line is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept. We use this to find the slope of $3y+2x=7$. First, we must solve for $y$ to put the equation into slope-intercept form. We subtract $2x$ from each side of the equation: $3y=-2x+7$ We divide by $3$ on both sides of the equation: $y=-\frac{2}{3}x+\frac{7}{3}$ Since $-\frac{2}{3}$ replaces $m$ in the equation, it is the slope we are looking for, and would be the slope of a parallel line.