Answer
$y=-\frac{A}{B}x+\frac{C}{B}$
$\text{Slope}=\frac65$
$\text{y-intercept}=\frac{9}{5}$
Work Step by Step
$$Ax+By=C$$
$$By=-Ax+C$$
$$\frac{By}{B}=-\frac{Ax}{B}+\frac{C}{B}$$
$$y=-\frac{Ax}{B}+\frac{C}{B}$$
$$y=-\frac{A}{B}x+\frac{C}{B}$$
Now it is in slope-intercept form.
$$-6x+5y=9$$
Using above results:
$$\text{Slope}=-\frac{A}{B}=-\frac{-6}{5}=\frac65$$
$$\text{y-intercept}=\frac{C}{B}=\frac{9}{5}$$
