To rotate a point \((x, y)\) 180 degrees counterclockwise around the origin, you can use the transformation \((x, y) \rightarrow (-x, -y)\).
Starting with the point \((-4, -6)\):
- Negate the x-coordinate: \(-(-4) = 4\)
- Negate the y-coordinate: \(-(-6) = 6\)
So the new point after a 180-degree rotation is \((4, 6)\).
Therefore, the answer is:
\((4, 6)\)