# What's the slope and intercept for -2x - 5y = 6?

Jun 4, 2018

$\text{slope "=-2/5," y-intercept } = - \frac{6}{5}$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{rearrange "-2x-5y=6" into this form}$

$\text{add "2x" to both sides}$

$- 5 y = 2 x + 6$

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

$y = - \frac{2}{5} x - \frac{6}{5} \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope "=-2/5" and y-intercept } = - \frac{6}{5}$