We want to find the coordinates of the point (5, -6) after a rotation of 90° counterclockwise about the origin.
We will find that the coordinates of the image after the rotation are (6, 5).
We start with a point on the fourth quadrant, so a 90° counterclockwise rotation about the origin will move the point to the first quadrant, so it will change the coordinates from:
(x, y) to (-y, x)
Then if we start with the point (5, -6), the coordinates after the rotation are:
(- (-6), 5) = (6, 5).
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