Determine if the points `(1,\ 5),\ (2,\ 3)\ and\ (-2,\ -11)` are collinear.

Explanation

To determine if the points \( (1, 5), (2, 3), \) and \( (-2, -11) \) are collinear, we can use the area of the triangle method. If the area of the triangle formed by these three points is zero, then the points are collinear. If the area is not zero, they are non-collinear.

### Step-by-step Solution:

1. **Identify the points**:
Let the points be:
- \( A(1, 5) \) where \( X_1 = 1 \) and \( Y_1 = 5 \)
- \( B(2, 3) \) where \( X_2 = 2 \) and \( Y_2 = 3 \)
...