Answer
The graph of $f(x)$ is vertically compressed by a factor of $\frac{1}{4}$ which causes the line to have a wider opening or a smaller slope/inclination compared to the parent function.
Work Step by Step
The graph of
$$
f(x)=\frac{x}{4}
$$ is similar to the graph of the parent function, $g(x)=x$, which is a line that passes through $(0,0)$ and has a slope of $1$. The graph of $f(x)$, though, is vertically compressed by a factor of $\frac{1}{4}$ which causes the line to have a wider opening or a smaller slope/inclination.
