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$\begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline<br/>1 & $-64$ \\ \hline<br/>2 & $0$ \\ \hline<br/>3 & $64$ \\ \hline \end{tabular}$<br/><br/>For the linear function $f$, the table shows three values of $x$ and their corresponding values of $f(x)$. Function $f$ is defined by $f(x)=ax+b$, where $a$ and $b$ are constants. What is the value of $a-b$?