# How do you find the slope and y intercept of 2x-5y=10?

Jul 21, 2017

$\text{slope "=2/5,"y-intercept } = - 2$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m represents the slope and b the y-intercept}$

$\text{rearrange "2x-5y=10" into this form}$

$\text{subtract 2x from both sides}$

$\cancel{2 x} \cancel{- 2 x} - 5 y = 10 - 2 x$

$\Rightarrow - 5 y = - 2 x + 10$

$\text{divide all terms by - 5}$

$\frac{\cancel{- 5} y}{\cancel{- 5}} = \frac{- 2}{- 5} x + \frac{10}{- 5}$

$\Rightarrow y = \frac{2}{5} x - 2 \leftarrow \textcolor{red}{\text{ in slope-intercept form}}$

$\Rightarrow \text{slope "=2/5" y-intercept } = - 2$