To determine the new coordinates of point A(2, 6) after a 90-degree clockwise rotation around the origin in the coordinate plane, we can use the following transformation formula:
For a point \((x, y)\), the coordinates after a 90-degree clockwise rotation will be \((y, -x)\).
Applying this formula to point A(2, 6):
- The x-coordinate is 2 and the y-coordinate is 6.
- After rotation, the new coordinates will be:
- New x-coordinate: \(y = 6\)
- New y-coordinate: \(-x = -2\)
Thus, the new coordinates for point A after a 90-degree clockwise rotation will be:
\[ A' = (6, -2) \]