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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.

If point (-4, -2) is rotated 90 degrees counterclockwise, the image will be located at _____.

Learn how to rotate the point (-4, -2) by 90 degrees counterclockwise in coordinate geometry. This problem explores key concepts in transformations and rotations on the coordinate plane, including applying the rule (x, y) -> (-y, x). Suitable for students in Grades 6-8.

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