The point (-2, 0) on reflection in a line is mapped to (2, 0) and the point (5, -6) on reflection in the same line is mapped to (-5, -6).
State the co-ordinates of the image of (-8,-5) in the mirror line.

Answer

To find the coordinates of the image of the point (-8, -5) upon reflection in the y-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Point to Reflect**:
The point we need to reflect is M(-8, -5).

2. **Understand the Reflection Rule**:
When a point (x, y) is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the reflection of the point (x, y) will be (-x, y).

3. **Apply the Reflection Rule**:
For the point M(-8, -5):
- The x-coordinate is -8. When we change the sign, it becomes 8.
- The y-coordinate is -5, which remains unchanged.

4. **Write the Coordinates of the Reflected Point**:
After applying the reflection rule, the coordinates of the image of the point M(-8, -5) will be (8, -5).

### Final Answer:
The coordinates of the image of (-8, -5) in the mirror line (y-axis) are (8, -5).

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