To rotate a point 180° counterclockwise around the origin, the coordinates of the point (x, y) are transformed to (-x, -y).
Given the point (−4, 6):
- The x-coordinate is -4, so -(-4) = 4.
- The y-coordinate is 6, so -(6) = -6.
Thus, the new coordinates after a 180° rotation are (4, -6).
The resulting point is (4, −6).