Answer :
[tex]\begin{gathered} \text{First, we need to isolate y} \\ 4y=-6x-3 \\ y=\frac{-6x-3}{4} \\ y=-\frac{6x}{4}-\frac{3}{4} \\ \text{Simplify fractions if possible} \\ y=-\frac{3}{2}x-\frac{3}{4} \\ \\ \text{The slope is -}\frac{3}{2},\text{ it is always the number next to x} \end{gathered}[/tex]