Answer
slope $=\frac{3}{5}$
$y$-intercept $=-6$
Work Step by Step
Step $1$. Rewrite the equation in slope-intercept form $y=mx+b$ (where $m$ is the slope and $b$ is the $y$-intercept) to obtain:
$$\begin{align*}
3x-5y&=30\\
-5y&=-3x+30\\
\frac{-5y}{-5}&=\frac{-3x+30}{-5}\\
y&=\frac{3}{5}x-6
\end{align*}$$
Step $2$. Thus, the slope is $m=\frac{3}{5}$ and the $y$-intercept as $-6$.
