Answer:
(-6,4)
Step-by-step explanation:
For a point (x, y), the coordinates of its image after a counterclockwise rotation of 90 degrees about the origin are (-y, x).
(4, -6) → (-6,4)
So, the image of the point (4, -6) after a rotation of 90 degrees counterclockwise about the origin is (-6, 4).