To rotate a point (x, y) 90 degrees counterclockwise around the origin, you can use the following transformation:
\[ (x, y) \rightarrow (-y, x) \]
For the point A(4, 1):
- \(x = 4\)
- \(y = 1\)
Applying the transformation:
\[ (x, y) \rightarrow (-y, x) \implies (4, 1) \rightarrow (-1, 4) \]
Thus, point A(4, 1) after a 90-degree counterclockwise rotation will be at the coordinates \((-1, 4)\).