If the points (3, -2), `(x ,\ 2)` and (8 ,8) are collinear, find `x` using determinant.

Explanation

To find the value of \( x \) such that the points \( (3, -2) \), \( (x, 2) \), and \( (8, 8) \) are collinear, we can use the determinant method. The points are collinear if the determinant of the matrix formed by these points is equal to zero.

### Step-by-Step Solution:

1. **Set up the determinant**:
We form a determinant using the coordinates of the points:
\[
\begin{vmatrix}
...