If the mirror image of a point (x, y) about x-axis is (x, -y) then write the mirror image of the point S (-5, 7) about x-axis is.

Answer

To find the mirror image of the point S (-5, 7) about the x-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Coordinates**: The given point S has coordinates (-5, 7). Here, x = -5 and y = 7.

2. **Understand the Reflection Rule**: When a point (x, y) is reflected about the x-axis, the x-coordinate remains the same, while the y-coordinate changes its sign. This means that the mirror image of (x, y) is (x, -y).

3. **Apply the Reflection Rule**:
- For the point S (-5, 7):
- The x-coordinate remains the same: -5.
- The y-coordinate changes its sign: from 7 to -7.

4. **Write the Mirror Image**: Therefore, the mirror image of the point S (-5, 7) about the x-axis is (-5, -7).

### Final Answer:
The mirror image of the point S (-5, 7) about the x-axis is (-5, -7).

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