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

Simplify each term.

Apply the distributive property.

Multiply by .

Multiply by .

Simplify .

Apply the distributive property.

Multiply by .

Move all terms containing to the left side of the equation.

Add to both sides of the equation.

Add and .

Move .

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Subtract from both sides of the equation.

Add and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify each term.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

Move the negative in front of the fraction.

Write in y=mx+b Form 7-(5y+3x)=7(x-y)