Determine the ratio in which the line 2x +y – 4 = 0 divides the line segment joining the points A(2, – 2) and B(3,7).

Explanation

To determine the ratio in which the line \(2x + y - 4 = 0\) divides the line segment joining the points \(A(2, -2)\) and \(B(3, 7)\), we can follow these steps:

### Step-by-Step Solution:

1. **Assume the Ratio**:
Let the ratio in which the line divides the segment \(AB\) be \(k:1\).

2. **Use the Section Formula**:
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