,

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.

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 .

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.

Reorder and .

Rewrite in slope-intercept form.

Using the slope-intercept form, the slope is .

Since the slopes are the same, the lines are parallel and do not intersect, so the system has no solutions.

Find the Slope for Each Equation 2x+3y=-8 , 6x+9y=2