To rotate a point 180 degrees counterclockwise around the origin, you change the signs of both the x and y coordinates.
For the point (-4, -6):
- The x-coordinate changes from -4 to 4.
- The y-coordinate changes from -6 to 6.
Thus, the new point after a 180-degree counterclockwise rotation is (4, 6).
So, the correct response is: (4, 6).