Find a point on the line through `A(5, -4) and B(-3, 2)`, that is, twice as far from A as from B.

Explanation

To find a point on the line through \( A(5, -4) \) and \( B(-3, 2) \) that is twice as far from \( A \) as from \( B \), we can use the section formula. Let's go through the solution step by step.

### Step 1: Understand the Ratio
We are given that the distance from point \( P \) to point \( A \) is twice the distance from point \( P \) to point \( B \). This can be expressed as:
\[ \frac{PA}{PB} = 2 \]
This implies that \( PA = 2 \cdot PB \).
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