Is there any relation between the projective dimension of $_AM$(i.e.left $A$-module $M$) and the projective dimension of $_{A/I}M$?

Question

Let $A$ be a finite dimensional algebra over a field K. Suppose $M$ is a left $A$ module, $I$ is an ideal of $A$ such that $MI=0$. So $M$ can also be seen as a left $A/I$ module. My question is that is there any relation between the projective dimension of $_AM$(i.e.left $A$-module $M$) and the projective dimension of $_{A/I}M$?