Question

What is the slope of `5x + 4y = 8`?

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=8" into this form"`

`"subtract 5x from both sides"`

`cancel(5x)cancel(-5x)+4y=-5x+8`

`rArr4y=-5x+8`

`"divide all terms by 4"`

`rArry=-5/4x+2larrcolor(red)"in slope-intercept form"`

`"with slope m "=-5/4`