can you please help me with this problem

Question

9. The preimage of point A is located at (−1, 5). What are the coordinates

of the image, A', after a 270° counterclockwise rotation?

Answer: 

Answer 1

270 degrees counterclockwise is the same as 90 degrees clockwise. For every 90 degrees we rotate a point, the absolute values of the x and y coordinates switch. Now we need to figure out which quadrant the rotated point will be in. (-1, 5) is in the 2nd quadrant so if we rotate 90 degrees clockwise, we are in the 1st quadrant where x and y are positive. So our new point is (5, 1).