# How do you write the slope intercept form of the line 9x-7y=-7?

Mar 7, 2018

$y = \frac{9}{7} x + 1$

#### Explanation:

The slope-intercept form is
$\textcolor{w h i t e}{\text{XXX}} y = \textcolor{g r e e n}{m} x + \textcolor{b l u e}{b}$
with slope $= \textcolor{g r e e n}{m}$ and $y$-intercept $= \textcolor{b l u e}{b}$

Given
$\textcolor{w h i t e}{\text{XXX}} 9 x - 7 y = - 7$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow - 7 y = - 9 x - 7$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow y = \textcolor{g r e e n}{\frac{9}{7}} x + \textcolor{b l u e}{1}$