4y=3x+12

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

y=mx+b

Divide each term by 4 and simplify.

Divide each term in 4y=3x+12 by 4.

4y4=3×4+124

Cancel the common factor of 4.

Cancel the common factor.

4y4=3×4+124

Divide y by 1.

y=3×4+124

y=3×4+124

Divide 12 by 4.

y=3×4+3

y=3×4+3

Rewrite in slope-intercept form.

y=34x+3

y=34x+3

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

m=34

Find the Slope 4y=3x+12