# How do you find the slope and intercept of 4(3x+9) - 3(5y+7)=11?

Mar 19, 2017

the slope is $\frac{4}{5}$ and the intercept is $\frac{4}{15}$

#### Explanation:

First let's multiply and get the form $y = m x + n$ where $m$ is the slope and $n$ is the intercept:

$12 x + 36 - 15 y - 21 = 11$

$15 y = 12 x + 36 - 21 - 11$

$15 y = 12 x + 4$

$y = {\cancel{12}}^{4} / {\cancel{15}}^{5} x + \frac{4}{15}$

$y = \frac{4}{5} x + \frac{4}{15}$

Then the slope is $\frac{4}{5}$ and the intercept is $\frac{4}{15}$