The slope-intercept form is , where is the slope and is the y-intercept.

Simplify each term.

Combine and .

Combine and .

Subtract from both sides of the equation.

Multiply both sides of the equation by .

Simplify both sides of the equation.

Simplify .

Cancel the common factor of .

Move the leading negative in into the numerator.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply.

Multiply by .

Multiply by .

Simplify .

Apply the distributive property.

Multiply by .

Multiply .

Multiply by .

Combine and .

Multiply by .

Reorder and .

Rewrite in slope-intercept form.

Write in y=mx+b Form 2/3x-1/2y=6