-12x+4y=-8

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

y=mx+b

Add 12x to both sides of the equation.

4y=-8+12x

Divide each term by 4 and simplify.

Divide each term in 4y=-8+12x by 4.

4y4=-84+12×4

Cancel the common factor of 4.

Cancel the common factor.

4y4=-84+12×4

Divide y by 1.

y=-84+12×4

y=-84+12×4

Simplify -84+12×4.

Simplify each term.

Divide -8 by 4.

y=-2+12×4

Cancel the common factor of 12 and 4.

Factor 4 out of 12x.

y=-2+4(3x)4

Cancel the common factors.

Factor 4 out of 4.

y=-2+4(3x)4(1)

Cancel the common factor.

y=-2+4(3x)4⋅1

Rewrite the expression.

y=-2+3×1

Divide 3x by 1.

y=-2+3x

y=-2+3x

y=-2+3x

y=-2+3x

Reorder -2 and 3x.

y=3x-2

y=3x-2

y=3x-2

y=3x-2

Using the slope-intercept form, the slope is 3.

m=3

Find the Slope -12x+4y=-8