4y=3x+7

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+7 by 4.

4y4=3×4+74

Cancel the common factor of 4.

Cancel the common factor.

4y4=3×4+74

Divide y by 1.

y=3×4+74

y=3×4+74

y=3×4+74

Rewrite in slope-intercept form.

y=34x+74

y=34x+74

Rewrite in Slope-Intercept Form 4y=3x+7