Okay, let's work through this step-by-step:
1. The given coordinates are (1, 6).
2. We are asked to rotate these coordinates 90 degrees clockwise.
3. To rotate a point (x, y) 90 degrees clockwise, we can use the following transformation:
New x-coordinate = -y
New y-coordinate = x
4. Applying this transformation to the point (1, 6):
New x-coordinate = -6
New y-coordinate = 1
5. Therefore, the new coordinates after rotating 90 degrees clockwise are (-6, 1).
So, the final answer is the coordinates (-6, 1).