To perform a 90° counterclockwise rotation of a point $(x, y)$ about the origin, we use the following transformation rule:

$(x', y') = (-y, x)$

For the point $(8, -9)$, apply this rule:

$(x', y') = (-(-9), 8) = (9, 8)$

So, the image of the point $(8, -9)$ after a 90° counterclockwise rotation about the origin is $(9, 8)$.

Would you like more details or have any questions?

Here are 5 related questions to further explore:

1. What is the image of the point $(8, -9)$ after a 180° rotation about the origin?
2. What is the image of the point $(8, -9)$ after a reflection over the y-axis?
3. How do you rotate a point 270° counterclockwise around the origin?
4. What happens to a point after a 90° clockwise rotation about the origin?
5. Can you explain the transformation rule for rotating a point 180°?

Tip: Always double-check the sign of the coordinates after rotation, as they often change depending on the angle and direction of the rotation.