Answer
The slope of the given line is $m=\dfrac{A}{B}$ and its $y$-intercept is $\Big(0,\dfrac{C}{B}\Big)$
Work Step by Step
$Ax=By-C$
Rewrite this equation in the slope-intercept form of the equation of a line, which is $y=mx+b$, where $m$ is the slope of the line and $b$ is its $y$-intercept.
Start by taking $C$ to the left side:
$Ax+C=By$
Rearrange:
$By=Ax+C$
Take $B$ to divide the right side:
$y=\dfrac{A}{B}x+\dfrac{C}{B}$
The equation given is now in slope-intercept form, so it can be seen that $m=\dfrac{A}{B}$ and $b=\dfrac{C}{B}$
The slope of the given line is $m=\dfrac{A}{B}$ and its $y$-intercept is $\Big(0,\dfrac{C}{B}\Big)$