Final answer:
A point located at (5, 9) rotated 90 degrees around the origin would be at (-9, 5) following standard rotation transformation rules in a coordinate system.
Step-by-step explanation:
When a point is rotated 90 degrees around the origin in a coordinate system, the new position of the point is determined by essentially swapping the x and y coordinates and changing the sign of the new x-coordinate. For a point at (5, 9) rotated 90 degrees around the origin, the new coordinates will be (-9, 5).
The step-by-step explanation is as follows:
- The original point is (5, 9).
- Since the point is being rotated 90 degrees, we swap the x and y values to get (9, 5).
- After swapping, we change the sign of the first value to account for the rotation direction, resulting in (-9, 5).
This transformation is in line with the standard counterclockwise rotation formula for 90 degrees, which is (x, y) -> (-y, x).