Question

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

Answer 1

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)}`