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A point P is reflected in the x - axis ....

A point P is reflected in the x - axis . Co - ordinates of its image are (8,-6).
Find the co - ordinates of P.

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To find the coordinates of point P given that its image after reflection in the x-axis is (8, -6), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Reflection in the x-axis**: When a point (x, y) is reflected in the x-axis, the x-coordinate remains the same, while the y-coordinate changes its sign. Therefore, the reflection of point P (x, y) in the x-axis gives us the image point P' (x, -y). 2. **Identify the Coordinates of the Image**: We are given the coordinates of the image P' as (8, -6). This means: - The x-coordinate of P' is 8. - The y-coordinate of P' is -6. 3. **Set Up the Coordinates of Point P**: Since the x-coordinate remains unchanged during reflection, we have: - x-coordinate of P = x-coordinate of P' = 8. For the y-coordinate, since it changes sign during reflection, we have: - y-coordinate of P = - (y-coordinate of P') = -(-6) = 6. 4. **Write the Coordinates of Point P**: Therefore, the coordinates of point P are (8, 6). ### Final Answer: The coordinates of point P are (8, 6). ---
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