Answer
\[m=\frac{A}{B};b=\frac{C}{B}\].
Work Step by Step
The slope-intercept form of the equation of non-vertical line with slope m and y-intercept b is \[y=mx+b\].
So,
The equation \[Ax=By-C\] is can written as:
\[\begin{align}
& Ax+C=By \\
& \frac{A}{B}x+\frac{C}{B}=y \\
& y=\frac{A}{B}x+\frac{C}{B} \\
\end{align}\]
Here, x-coefficient is the line’s slope, \[m=\frac{A}{B}\].
The constant term is the y-intercept, \[b=\frac{C}{B}\].