To find $g(-2)$ for the function $g(x) = -4x - 4$, substitute $-2$ into the equation:

$g(-2) = -4(-2) - 4$

Calculating this step-by-step:

1. $-4 \times -2 = 8$
2. $8 - 4 = 4$

Thus, $g(-2) = 4$.

Would you like any further details or explanations? Here are some related questions you might consider:

1. What is the graph of the function $g(x)$?
2. How do you find the x-intercept of $g(x)$?
3. What would $g(0)$ be for this function?
4. How does the slope of the line affect its graph?
5. Can you explain the concept of linear functions?

Tip: Always check the calculations by substituting the value back into the function.