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

Subtract from both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify .

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.

Move the negative in front of the fraction.

Move the negative in front of the fraction.

Reorder and .

Rewrite in slope-intercept form.

Using the slope-intercept form, the slope is .

All lines that are parallel to have the same slope of .

Find the Slope of a Parallel Line x+9y=-6