2y=6x+4

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 in 2y=6x+4 by 2.

2y2=6×2+42

Cancel the common factor of 2.

Cancel the common factor.

2y2=6×2+42

Divide y by 1.

y=6×2+42

y=6×2+42

Simplify each term.

Cancel the common factor of 6 and 2.

Factor 2 out of 6x.

y=2(3x)2+42

Cancel the common factors.

Factor 2 out of 2.

y=2(3x)2(1)+42

Cancel the common factor.

y=2(3x)2⋅1+42

Rewrite the expression.

y=3×1+42

Divide 3x by 1.

y=3x+42

y=3x+42

y=3x+42

Divide 4 by 2.

y=3x+2

y=3x+2

y=3x+2

Rewrite in Slope-Intercept Form 2y=6x+4