To determine the value of the function at \( x = -2 \), we can look at the information provided about the line passing through the points \((-2, 2)\) and \( (2, -3)\).
Since the line passes through the point \((-2, 2)\), we can see that when \( x = -2 \), the corresponding \( y \)-value is \( 2 \).
Therefore, the value of the function at \( x = -2 \) is:
\[ y = 2 \]