We will have the following:
First, we solve the expression for "y", that is:
[tex]\begin{gathered} 2x+3y=-3\Rightarrow3y=-2x-3 \\ \\ \Rightarrow y=-\frac{2}{3}x-1 \end{gathered}[/tex]So, the slop of a function line that is parallel will be:
[tex]-\frac{2}{3}[/tex]