Question

How do you find the slope of the line `5x+4y=-2`?

Answer 1

`"slope "=-5/4`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"rearrange "5x+4y=-2" into this form"`

`"subtract "5x" from both sides"`

`4y=-5x-2`

`"divide all terms by 4"`

`y=-5/4x-1/2larrcolor(blue)"in slope-intercept form"`

`"with slope "=-5/4`