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

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