Slope-Intercept Form Linear Equations

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 $-\frac{a}{b}$