Standard Form Linear Equations are in the form of \(ax+by=c\).
In slope-intercept form (\(y=mx+b\)), the \(m\) would be the slope of the line.
Which means we want to express the standard form equation in slope-intercept form.
\[ax+by=c\]Subtract \(ax\) from both sides:
\[by=-ax+c\]Divide both sides by \(b\):
\[y=-\dfrac{a}{b} x + \dfrac{c}{b}\]This means the slope of any standard form equation is \(-\frac{a}{b}\)