A person standing at the junction (crossing) of two straight paths represented by the equations `2x + 3y +4 = 0`and `3x + 4y - 5`= 0 wants to reach the path whose equation is `6x - 7y + 8 = 0`in the least time. Find

Explanation

To solve the problem, we need to find the path that the person should follow to reach the line \(6x - 7y + 8 = 0\) in the least time. This path will be the perpendicular distance from the point of intersection of the two given lines to the third line.

### Step-by-Step Solution:

1. **Find the Point of Intersection (P) of the Two Given Lines:**
The equations of the two lines are:
\[
2x + 3y + 4 = 0 \quad \text{(1)}
...