# How do you write  2x-5y = 15 in slope-intercept form?

Oct 17, 2016

$y = \textcolor{g r e e n}{\frac{2}{5}} x \textcolor{b l u e}{- 3}$

#### Explanation:

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

$2 x - 5 y = 15$

$\rightarrow - 5 y = - 2 x + 15$

$\rightarrow y = \frac{- 2}{- 5} x + \frac{15}{- 5}$

$\rightarrow y = \textcolor{g r e e n}{\frac{2}{5}} x \textcolor{b l u e}{- 3}$