To find $h(-4)$ given the function $h(x) = -5x - 1$, we need to substitute $x = -4$ into the function.

Let's do the calculation:

$h(-4) = -5(-4) - 1$

Now, calculate:

$h(-4) = 20 - 1 = 19$

So, $h(-4) = 19$.

Would you like more details or have any questions about this? Here are some related problems you might find interesting:

1. Find $h(2)$ for the function $h(x) = -5x - 1$.
2. Determine the value of $x$ such that $h(x) = 0$ for $h(x) = -5x - 1$.
3. Evaluate $h(x)$ when $x = 0$.
4. What is the slope of the line represented by $h(x) = -5x - 1$?
5. Solve $h(x) = 9$ for $x$ in the function $h(x) = -5x - 1$.

Tip: When substituting a value into a function, always replace every instance of the variable with the given number, and then simplify step by step.