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

Find the values of and using the form .

Rewrite in slope-intercept form.

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.

Divide by .

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 .

Reorder and .

Find the values of and using the form .

Compare the slopes of the two equations.

Compare the two slopes in the decimal form. If the slopes are equal, then the lines are parallel. If the slopes are not equal, then the lines are not parallel.

The equations are not parallel because the slopes of the two lines are not equal.

Not Parallel

Determine if Parallel y=6x+9 27x-3y=-81