Final answer:
The point (5,-4) is rotated 90° counterclockwise, resulting in the new ordered pair (4, -5), where the original x-coordinate and y-coordinate exchange places and the sign of the original x-coordinate is reversed.
Step-by-step explanation:
When rotating a point 90° counterclockwise about the origin, the coordinates change place and the sign of the x-coordinate becomes the sign of the y-coordinate. This is a rule that applies when dealing with rotations in the coordinate system, specifically in the counterclockwise direction. You can think of it as applying a 90° rotation transformation to the point.
For the point (5,-4), after a 90° counterclockwise rotation, the x-coordinate (5) becomes the y-coordinate and changes sign, becoming -5. Simultaneously, the y-coordinate (-4) becomes the x-coordinate and reverses sign, turning into 4. Thus, the new ordered pair after the rotation is (4, -5).