Answer
The slope of the given line is $m=\dfrac{3}{4}$ and its $y$-intercept is $(0,-2)$
Work Step by Step
$f(x)=\dfrac{3}{4}x-2$
Substitute $f(x)$ by $y$, for representative purposes:
$y=\dfrac{3}{4}x-2$
This equation is now in slope-intercept form. This form $y=mx+b$, where $m$ is the slope of the line and $b$ is its $y$-intercept.
In this case, $m=\dfrac{3}{4}$ and $b=-2$
The slope of the given line is $m=\dfrac{3}{4}$ and its $y$-intercept is $(0,-2)$
The graph is shown below: