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

Subtract 12x from 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