Answer
$\text{$y$-intercept is } -3$
Work Step by Step
Substituting $x=0,$ then
\begin{array}{l}\require{cancel}
y=-\dfrac{5}{4}x-3
\\\\
y=-\dfrac{5}{4}(0)-3
\\\\
y=0-3
\\\\
y=-3
.\end{array}
Hence, the $
\text{$y$-intercept is } -3
.$
The graph of the given equation is shown above.