Find the ratio in which the point P`((3)/(4),(3)/(12))` divides the line segment joining the points A `((1)/(2),(3)/(2))` and B (2,-5).

Explanation

To find the ratio in which the point P \((\frac{3}{4}, \frac{5}{12})\) divides the line segment joining the points A \((\frac{1}{2}, \frac{3}{2})\) and B \((2, -5)\), we can use the section formula.

### Step-by-Step Solution:

1. **Identify the Coordinates**:
- Let the coordinates of point A be \(A\left(\frac{1}{2}, \frac{3}{2}\right)\).
- Let the coordinates of point B be \(B(2, -5)\).
- Let the coordinates of point P be \(P\left(\frac{3}{4}, \frac{5}{12}\right)\).
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