Question

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

Answer 1

The slope-intercept form:

$y=mx+b$

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