Yes, the point $(-2, -8)$ is a solution to the system of inequalities. It satisfies both inequalities:

1. $y \leq 6x + 4$
2. $y \leq -x - 10$

Would you like more details on how the point was tested, or do you have any other questions?

Here are some related questions you might want to explore:

1. What are systems of inequalities and how are they solved graphically?
2. How do we interpret the solution set for a system of inequalities?
3. Can there be no solution to a system of inequalities?
4. How do systems of inequalities differ from systems of equations?
5. How would the solution set change if we changed one of the inequalities?

Tip: Always substitute the values of $x$ and $y$ into both inequalities to check if they satisfy the conditions simultaneously.