Answer
$y$ is a function of $x$.
Work Step by Step
Solve for $y$ in terms of $x$ to obtain:
$\begin{array}{ccc}
&3x-5y &= &7
\\&-5y &= &-3x+7
\\&\dfrac{-5y}{-5} &= &\dfrac{-3x+7}{-5}
\\&y &= &\dfrac{3}{5}x -\dfrac{7}{5}
\end{array}$
The last equation above will given only one $y$ value for any value of $x$.
Thus, the equation represents a function.
