# How do you write -3x-8y=10 into slope intercept form?

Aug 29, 2015

$y = - \frac{3}{8} x - \frac{5}{4}$

#### Explanation:

Given $- 3 x - 8 y = 10$

$- 8 y = + 3 x + 10$

$y = - \frac{3}{8} x + \frac{10}{8} = \left(- \frac{3}{8}\right) x + \left(- \frac{5}{4}\right)$
$\textcolor{w h i t e}{\text{XXXXXX}}$ which is slope intercept form
$\textcolor{w h i t e}{\text{XXXXXX}}$ with slope $= - \frac{3}{8}$ and y-intercept $= - \frac{5}{4}$