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How do I turn this equation from standard form to slope intercept form?

How do I turn this equation from standard form to slope intercept form?-example-1

1 Answer

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The slope-intercept form:


y=mx+b



(5)/(7)x+(6)/(7)y=-2\qquad\text{multiply both sides by 7}\\\\5x+6y=-14\qquad\text{subtract 5x from both sides}\\\\6y=-5x-14\qquad\text{divide both sides by 6}\\\\y=-(5)/(6)y-(14)/(6)\\\\\boxed{y=-(5)/(6)x-(7)/(3)}

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