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: Understand the Geometry
We have a ray of light passing through the point (1, 2) and reflecting off the x-axis at point A, which has coordinates (a, 0). The reflected ray then passes through the point (5, 3).

### Step 2: Determine the Slope of the Incoming Ray
The slope of the line from (1, 2) to (a, 0) can be calculated using the formula for slope:
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