To rotate a point \( (x, y) \) 180° counterclockwise around the origin, the resulting point will be \( (-x, -y) \).
Starting with the point \( (-4, 6) \):
\[ (-x, -y) = (-(-4), -6) = (4, -6) \]
Therefore, the resulting point after a 180° counterclockwise rotation of the point \( (-4, 6) \) is \( (4, -6) \).
So, the correct response is \( (4, -6) \).