To solve the problem of rotating the point $(-4, -2)$ by 90 degrees counterclockwise, we follow a standard geometric rule for rotations:

• For a 90-degree counterclockwise rotation, the transformation of any point $(x, y)$ becomes $(-y, x)$.

Given the point $(-4, -2)$:

1. Apply the rule: $(x, y) = (-4, -2) \rightarrow (-(-2), -4) = (2, -4)$

Thus, the new location of the point after the rotation is $(2, -4)$.

The correct answer is (2, -4).

Would you like further details or have any questions? Here are 5 related questions to expand on this:

1. What is the transformation rule for a 180-degree rotation of a point?
2. How would you rotate a point by 90 degrees clockwise instead of counterclockwise?
3. Can you apply this rotation rule to three-dimensional coordinates?
4. What is the geometric interpretation of rotating a point on a graph?
5. How do reflections differ from rotations in geometry?

Tip: When rotating points on a coordinate plane, always remember to apply the correct transformation rule based on the direction and degree of rotation.