#### Answer

The slope of the line is $\frac{6}{5}$ and the y-intercept is (0,6).

#### Work Step by Step

We are given that $-6x+5y=30$. We can transform this is equation into the slope-intercept form $y=mx+b$, where m is the slope of the line and the point (0,b) is the y-intercept.
First, add 6x to both sides.
$5y=6x+30$
Divide both sides by 5.
$y=\frac{6}{5}x+6$
$m=\frac{6}{5}$ and $b=6$
Therefore, the slope of the line is $\frac{6}{5}$ and the y-intercept is (0,6).