## Thinking Mathematically (6th Edition)

$m=-\frac{A}{B};b=\frac{C}{B}$.
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 $Ax+By=C$ can written as: \begin{align} & By=-Ax+C \\ & 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, $b=\frac{C}{B}$.