-12x+16y=0

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.

16y=12x

Divide each term by 16 and simplify.

Divide each term in 16y=12x by 16.

16y16=12×16

Cancel the common factor of 16.

Cancel the common factor.

16y16=12×16

Divide y by 1.

y=12×16

y=12×16

Cancel the common factor of 12 and 16.

Factor 4 out of 12x.

y=4(3x)16

Cancel the common factors.

Factor 4 out of 16.

y=4(3x)4(4)

Cancel the common factor.

y=4(3x)4⋅4

Rewrite the expression.

y=3×4

y=3×4

y=3×4

y=3×4

Rewrite in slope-intercept form.

y=34x

y=34x

Using the slope-intercept form, the slope is 34.

m=34

Find the Slope -12x+16y=0