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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.

Is (-2, -8) a solution to this system of inequalities?
 y ≤ 6x + 4
 y ≤ -x - 10

Learn how to determine if the point (-2, -8) is a solution to a system of linear inequalities. This step-by-step guide walks you through substitution in inequalities y ≤ 6x + 4 and y ≤ -x - 10, suitable for students in Grades 7-9.

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