Question

What is the image of the point (8, -3) after a rotation of 90° counterclockwise about
the origin?

Answer 1

Answer:

$\huge\boxed{(3, 8)}$

Step-by-step explanation:

When we rotate a point 90° counterclockwise around the origin, it's the same as rotating it 270° clockwise around the origin.

When we rotate something 270° clockwise around the origin, the original coordinates (x, y) becomes (-y, x).

y is -3, and -(-3) is just 3, since two negatives make a positive.

x just remains x, but it's in a different position.

This makes the new coordinate $(3, 8)$.

Hope this helped!