Given:
The point is (-8,3).
To find:
The image of the given point after a rotation of 270 degrees counterclockwise about the origin.
Solution:
If a point is rotated 270 degrees counterclockwise about the origin, then the rule of rotation is:
Using this rule, we get
Therefore, the image of the given point after a rotation of 270 degrees counterclockwise about the origin is (3,8).