Answer
slope: $m=\displaystyle \frac{3}{5}$
$\mathrm{y}$-intercept: $b=-6$
Work Step by Step
$3x-5y=30$
We solve for $y$:
$-5y=30-3x$
$y=\frac{3}{5}x-6$
Since the line now has the form $y=mx+b$, we see that the slope is $m=\displaystyle \frac{3}{5}$ and the $\mathrm{y}$-intercept is $b=-6.$
