Answer
The equation defines $y$ as a function of $x$.
The function can be written as $f(x)=\frac{3}{5}x-\frac{7}{5}$.
Work Step by Step
Solve for $y$ in terms of $x$ to have:
$-5y=-3x+7
\\y = \dfrac{-3x+7}{-5}
\\y=\dfrac{3}{5}x -\dfrac{7}{5}$
The last equation is a rule that gives one value of $y$ for each value of $x$. Thus, it defines $y$ as a function of $x$.
Therefore, the function can be written as:
$f(x)=\frac{3}{5}x - \frac{7}{5}$
