-5x-8y=7

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

y=mx+b

Add 5x to both sides of the equation.

-8y=7+5x

Divide each term by -8 and simplify.

Divide each term in -8y=7+5x by -8.

-8y-8=7-8+5x-8

Cancel the common factor of -8.

Cancel the common factor.

-8y-8=7-8+5x-8

Divide y by 1.

y=7-8+5x-8

y=7-8+5x-8

Simplify 7-8+5x-8.

Simplify each term.

Move the negative in front of the fraction.

y=-78+5x-8

Move the negative in front of the fraction.

y=-78-5×8

y=-78-5×8

Reorder -78 and -5×8.

y=-5×8-78

y=-5×8-78

y=-5×8-78

Rewrite in slope-intercept form.

y=-58x-78

y=-58x-78

Using the slope-intercept form, the slope is -58.

m=-58

Find the Slope -5x-8y=7