David M. answered 12/09/18
Dave "The Math Whiz"
Slope-intercept form is y = mx +b, so we must get this equation to look like that.
y + 3 = -1/3(2x + 6) original equation
y + 3 = (-1/3)(2x) + (-1/3)(6) apply the distributive property
y + 3 = (-2/3)x -2 simplify
y= (-2/3)x - 2 - 3 subtract 3 from both sides
y = (-2/3)x - 5 simplify
Your answer is y = (-2/3)x - 5.