Points A and B have the co-ordinates `(-2, 4) and (-4,1)` respectively. Find:
the co-ordinates of A', the image of A in the line x= 0

Answer

To find the coordinates of A', the image of point A in the line x = 0 (the y-axis), we can follow these steps:

### Step 1: Identify the coordinates of point A
The coordinates of point A are given as (-2, 4).

### Step 2: Understand the reflection across the line x = 0
When a point is reflected across the line x = 0 (the y-axis), the x-coordinate changes its sign while the y-coordinate remains the same.

### Step 3: Apply the reflection rule
For point A (-2, 4):
- The x-coordinate is -2. When reflected across the y-axis, it becomes 2 (the opposite sign).
- The y-coordinate remains the same, which is 4.

### Step 4: Write the coordinates of A'
Thus, the coordinates of A', the image of A in the line x = 0, are (2, 4).

### Final Answer
The coordinates of A' are (2, 4).

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