2x-8y=-8

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

y=mx+b

Subtract 2x from both sides of the equation.

-8y=-8-2x

Divide each term by -8 and simplify.

Divide each term in -8y=-8-2x by -8.

-8y-8=-8-8+-2x-8

Cancel the common factor of -8.

Cancel the common factor.

-8y-8=-8-8+-2x-8

Divide y by 1.

y=-8-8+-2x-8

y=-8-8+-2x-8

Simplify -8-8+-2x-8.

Simplify each term.

Divide -8 by -8.

y=1+-2x-8

Cancel the common factor of -2 and -8.

Factor -2 out of -2x.

y=1+-2(x)-8

Cancel the common factors.

Factor -2 out of -8.

y=1+-2(x)-2(4)

Cancel the common factor.

y=1+-2x-2⋅4

Rewrite the expression.

y=1+x4

y=1+x4

y=1+x4

y=1+x4

Reorder 1 and x4.

y=x4+1

y=x4+1

y=x4+1

Rewrite in slope-intercept form.

y=14x+1

y=14x+1

Using the slope-intercept form, the slope is 14.

m=14

Find the Slope 2x-8y=-8