-3x-8y=-24

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Add 3x to both sides of the equation.

-8y=-24+3x

Divide each term by -8 and simplify.

Divide each term in -8y=-24+3x by -8.

-8y-8=-24-8+3x-8

Cancel the common factor of -8.

Cancel the common factor.

-8y-8=-24-8+3x-8

Divide y by 1.

y=-24-8+3x-8

y=-24-8+3x-8

Simplify -24-8+3x-8.

Simplify each term.

Divide -24 by -8.

y=3+3x-8

Move the negative in front of the fraction.

y=3-3×8

y=3-3×8

Reorder 3 and -3×8.

y=-3×8+3

y=-3×8+3

y=-3×8+3

Rewrite in slope-intercept form.

y=-38x+3

y=-38x+3

Using the slope-intercept form, the slope is -38.

m=-38

Find the Slope -3x-8y=-24