Question

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

Answer 1

`-a/b` ,`-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=mx+b`, your m would be the slope. The change from standard to slope-intercept form is as follows.
`ax+by+c=0`
`by=-ax-c`
`y=-a/bx-c/b`
`b_"slope-intercept"=-c/b`
`m=-a/b`

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

Answer 2

the slope is `-5/2`

Explanation:

as, `y=mx+c`

`5x+2y=-20`
`2y=-5x-20`
`y=-5/2x-10`
compare with y=mx+c
`m=-5/2`