# How do you find the slope of 5x+2y=-20?

Mar 19, 2018

$- \frac{a}{b}$ ,$- \frac{5}{2}$

#### Explanation:

The standard form of a line is ax+by+c=0. If you were to change this into slope-intercept form, $y = m x + b$, your m would be the slope. The change from standard to slope-intercept form is as follows.
$a x + b y + c = 0$
$b y = - a x - c$
$y = - \frac{a}{b} x - \frac{c}{b}$
${b}_{\text{slope-intercept}} = - \frac{c}{b}$
$m = - \frac{a}{b}$

This can be used to quickly find the slope or y-intercept of a line in standard form.

Mar 19, 2018

the slope is $- \frac{5}{2}$

#### Explanation:

as, $y = m x + c$

$5 x + 2 y = - 20$
$2 y = - 5 x - 20$
$y = - \frac{5}{2} x - 10$
compare with y=mx+c
$m = - \frac{5}{2}$