A ray of light passing through the point (1, 2) reflects on the x–axis at point A and the reflected ray passes through the point (5, 3). Find the coordinates of A.

Explanation

To find the coordinates of point A where the ray of light reflects on the x-axis, we can follow these steps:

### Step 1: Define the coordinates of point A
Let the coordinates of point A be \( (k, 0) \) since A lies on the x-axis.

### Step 2: Determine the slopes of the lines
1. **Slope of line PA** (from point P(1, 2) to A(k, 0)):
\[
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