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

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 .

Hope this helped!

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.