Find the direction in which a straight line must be drawn through the point `(-1, 2)`so that its point of intersection with the line `x + y =4` may be at a distance of 3 units from this point.

Explanation

To solve the problem step by step, we need to find the direction in which a straight line must be drawn through the point (-1, 2) such that its point of intersection with the line \( x + y = 4 \) is at a distance of 3 units from this point.

### Step 1: Identify the given information
We have:
- Point \( P(-1, 2) \)
- Line \( AB: x + y = 4 \)
- Distance \( PQ = 3 \) units

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