Find the coordinates of points lying on the line joining `P(3,-4)` and `Q(-2,5)` that is twice as far from P as Q

Explanation

To find the coordinates of the point \( S \) that lies on the line segment joining points \( P(3, -4) \) and \( Q(-2, 5) \), and is twice as far from \( P \) as it is from \( Q \), we can use the section formula. Here’s how to solve it step by step:

### Step 1: Understand the Ratio
We know that point \( S \) divides the line segment \( PQ \) in the ratio \( 2:1 \). This means that the distance from \( P \) to \( S \) is twice the distance from \( S \) to \( Q \).

### Step 2: Identify the Coordinates
The coordinates of point \( P \) are \( (3, -4) \) and the coordinates of point \( Q \) are \( (-2, 5) \).

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