In what ratio does the line joining the points (2, 3) and (4, 1) divide the segment joining the points (1, 2) and (4, 3)?

Explanation

To solve the problem of finding the ratio in which the line joining the points (2, 3) and (4, 1) divides the segment joining the points (1, 2) and (4, 3), we can follow these steps:

### Step 1: Find the equation of the line joining (2, 3) and (4, 1).
1. Calculate the slope (m) of the line:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{4 - 2} = \frac{-2}{2} = -1 \]
2. Use the point-slope form of the line equation:
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