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To find points symmetric to \((-6, 3)\) with respect to various axes and the origin, let's analyze each case step-by-step.

### 1. Symmetry with respect to the x-axis:
- The y-coordinate changes sign, while the x-coordinate remains the same.
- Thus, the symmetric point will be:
  \[
  (-6, -3)
  \]

### 2. Symmetry with respect to the y-axis:
- The x-coordinate changes sign, while the y-coordinate remains the same.
- The symmetric point will be:
  \[
  (6, 3)
  \]

### 3. Symmetry with respect to the origin:
- Both the x- and y-coordinates change signs.
- The symmetric point will be:
  \[
  (6, -3)
  \]

### Answer for the question:
- The point symmetric to \((-6, 3)\) with respect to the x-axis is \((-6, -3)\).

Would you like details or have further questions? Here are some related questions:

1. What is the symmetry of a point with respect to both axes?
2. How do you find the distance between two points on a coordinate plane?
3. How does symmetry affect the slope of a line between two points?
4. How would reflections work in a 3D space?
5. Can we generalize this concept for any axis in a different coordinate system?

**Tip:** To reflect a point over an axis, just change the sign of the corresponding coordinate(s).

Find the point that is symmetric to the point (-6, 3) with respect to the x-axis, the y-axis, and the origin.

Learn how to find points symmetric to (-6, 3) with respect to the x-axis, y-axis, and origin. This problem involves key geometry concepts and formulas related to symmetry in coordinate planes. Suitable for students in Grades 7-9.

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