Find the value of m, if the points (5,1), (-2,-3) and (8,2m) are collinear.

Explanation

To find the value of \( m \) such that the points \( (5, 1) \), \( (-2, -3) \), and \( (8, 2m) \) are collinear, we can use the formula for the area of a triangle formed by three points. If the area is zero, then the points are collinear.

### Step-by-Step Solution:

1. **Identify the Points**:
Let the points be:
- \( A(5, 1) \) where \( x_1 = 5 \) and \( y_1 = 1 \)
- \( B(-2, -3) \) where \( x_2 = -2 \) and \( y_2 = -3 \)
...