To rotate a point 90 degrees clockwise around the origin, you can use the following transformation formula:
If the point is \( (x, y) \), after a 90-degree clockwise rotation, the new coordinates will be \( (y, -x) \).
For point \( A(2, 6) \):
- \( x = 2 \)
- \( y = 6 \)
Applying the transformation:
\[ (x', y') = (y, -x) = (6, -2) \]
So, after a rotation of 90 degrees clockwise, point \( A(2, 6) \) will be at the new location \( (6, -2) \).