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

Answer

To find the coordinates of B', the image of point B in the y-axis, we can follow these steps:

### Step 1: Identify the coordinates of point B.
The coordinates of point B are given as:
\[ B(-4, 1) \]

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

### Step 3: Apply the reflection rule.
For point B(-4, 1):
- The x-coordinate is -4. When reflected in the y-axis, it becomes \( -(-4) = 4 \).
- The y-coordinate remains the same, which is 1.

### Step 4: Write the coordinates of B'.
Thus, the coordinates of B', the image of B in the y-axis, are:
\[ B'(4, 1) \]

### Final Answer:
The coordinates of B' are \( (4, 1) \).

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