Find the value of k if the points `A(2,3), B(4,k) and C(6,-3)`are collinear.

Explanation

To find the value of \( k \) such that the points \( A(2,3) \), \( B(4,k) \), and \( C(6,-3) \) are collinear, we can use the concept that the area of the triangle formed by these three points must be zero.

### Step-by-Step Solution:

1. **Identify the coordinates of the points:**
- \( A(x_1, y_1) = (2, 3) \)
- \( B(x_2, y_2) = (4, k) \)
- \( C(x_3, y_3) = (6, -3) \)
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