If ax - 4y = -6 has a slope of $$ - \frac{3}{2}.$$  What is the value of a?

Solution (By Examveda Team)

$$\eqalign{ & ax - 4y = - 6 \cr & \Rightarrow 4y = ax + 6 \cr} $$

$$\eqalign{ & y = \frac{a}{4}x + \frac{6}{4} \cr & \frac{a}{4} = \frac{{ - 3}}{2} \cr & \boxed{a = - 6} \cr} $$