Final answer:
After a 90° clockwise rotation, point W(-6, 7) will be at position W'(7, -6), with the original x-coordinate becoming the y-coordinate and the y-coordinate becoming the negative of the x-coordinate.
Step-by-step explanation:
When point W(-6, 7) is rotated 90° clockwise, its new position, referred to as W', can be found by switching the x and y coordinates and changing the sign of the original x-coordinate. A 90° clockwise rotation essentially means that the point's x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the x-coordinate.
The coordinates of W' after a 90° clockwise rotation can be calculated as follows:
- Switch the x and y coordinates of W(-6, 7) to get (7, -6).
- Change the sign of the original x-coordinate to get W'(7, 6).
Therefore, the new position of W' after a 90° clockwise rotation is (7, -6).