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, we need to find the direction (slope) of a straight line that passes through the point \((-1, 2)\) and intersects the line \(x + y = 4\) at a distance of 3 units from the point \((-1, 2)\).

### Step-by-Step Solution:

1. **Equation of the Line through Point (-1, 2)**:
We can express the equation of the line passing through the point \((-1, 2)\) in point-slope form:
\[
y - 2 = m(x + 1)
...