Answer:slope = - [tex]\frac{1}{2}[/tex]Step-by-step explanation:The equation of a line in slope- intercept form isy = mx + c ( m is the slope and c the y- intercept )Rearrange 3x + 6y + 12 = 0 into this formSubtract 3x + 12 from both sides6y = - 3x - 12 ( divide all terms by 6 )y = - [tex]\frac{1}{2}[/tex] x - 2 β in slope- intercept formwith slope m = - [tex]\frac{1}{2}[/tex]