## Calculus (3rd Edition)

$$y=-\frac{3}{2}x-6$$
Since the slope is $-\frac{3}{2}$, the line equation is $$y=-\frac{3}{2}x+c.$$ To find $c$, we use the fact that the line passes through the point $(4,-12)$ $$-12=-\frac{3}{2}(4)+c\Longrightarrow c=-12+6=-6$$ Hence, the equation is $$y=-\frac{3}{2}x-6$$