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To rotate a point counterclockwise by 90 degrees, we can swap the x and y coordinates and negate the new x coordinate.
So, if we have a point A(x, y), the new point after a rotation of 90 degrees counterclockwise would be (-y, x).
In this case, the given point is A(2, 6).
After a rotation of 90 degrees counterclockwise, the new point would be (-6, 2).