What is the image of (1, -6) for a 90° counterclockwise rotation about the origin?

Solution:

We know that the point (1, -6) lies in the IV quadrant

We should rotate it by 90° counterclockwise rotation about the origin

From the result 

When a point with coordinate ( x , y ) is rotated 90° counterclockwise then the new coordinates of the point are given by ( -y , x ).

Therefore, the image is (6, 1).

What is the image of (1, -6) for a 90° counterclockwise rotation about the origin?

Summary:

The image of (1, -6) for a 90° counterclockwise rotation about the origin is (6, 1).