To find $f(-1)$ given the function $f(x) = -5x - 1$, we substitute $x = -1$ into the function.

Let's calculate:

$f(-1) = -5(-1) - 1$

Now, simplify:

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

So, $f(-1) = 4$.

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

1. Find $f(0)$ for the function $f(x) = -5x - 1$.
2. Determine the value of $x$ such that $f(x) = 0$ for $f(x) = -5x - 1$.
3. Evaluate $f(x)$ when $x = 2$.
4. What is the y-intercept of the function $f(x) = -5x - 1$?
5. Solve $f(x) = 10$ for $x$ in the function $f(x) = -5x - 1$.

Tip: When working with linear functions, the coefficient of $x$ represents the slope, and the constant term represents the y-intercept.