12x+8y=0

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.

8y=-12x

Divide each term by 8 and simplify.

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

8y8=-12×8

Cancel the common factor of 8.

Cancel the common factor.

8y8=-12×8

Divide y by 1.

y=-12×8

y=-12×8

Simplify -12×8.

Cancel the common factor of -12 and 8.

Factor 4 out of -12x.

y=4(-3x)8

Cancel the common factors.

Factor 4 out of 8.

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

Cancel the common factor.

y=4(-3x)4⋅2

Rewrite the expression.

y=-3×2

y=-3×2

y=-3×2

Move the negative in front of the fraction.

y=-3×2

y=-3×2

y=-3×2

Rewrite in slope-intercept form.

y=-32x

y=-32x

Using the slope-intercept form, the slope is -32.

m=-32

Find the Slope 12x+8y=0