# How do you find the slope of 4x - 3y = 3?

##### 1 Answer
Feb 5, 2016

Slope: $\frac{4}{3}$

#### Explanation:

For a linear equation in standard form:
$\textcolor{w h i t e}{\text{XXX}} A x + B y = C$
the slope can be derived by the formula
$\textcolor{w h i t e}{\text{XXX}} m = - \frac{A}{B}$
In this case $A = 4 , B = - 3$ so $m = - \frac{4}{- 3} = \frac{4}{3}$

Alternately, if you don't remember this formula
you could convert the equation into slope-intercept form:
$\textcolor{w h i t e}{\text{XXX}} y = m x + b$ with slope $m$ and y-intercept $b$
In this case
$\textcolor{w h i t e}{\text{XXX}} 4 x - 3 y = 3$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow - 3 y = - 4 x + 3$
$\textcolor{w h i t e}{\text{XXX}} \rightarrow y = \frac{4}{3} x - 1$
given the slope $m = \frac{4}{3}$ (and y-intercept $\left(- 1\right)$)