The functions $f$ and $g$ are defined as $f(x)=2x^2-3x+1$ and $g(x)=-2x^2+7x-9$. If the function $h$ is defined as $h(x)=f(x)+g(x)$, what is the $y$-intercept of the graph of $y=h(x)$ in the $xy$-plane?