ANSWER
(-6,5)
Step-by-step explanation
The mapping for 90° counterclockwise rotation has mapping
![(x,y)\to (-y,x)](https://img.qammunity.org/2020/formulas/mathematics/high-school/t4yxjer6qu9fi9s9dvfqgzfuq46b48k0jv.png)
The coordinates of M are (5, 6)
To find the coordinates of M' we substitute the coordinates of M into the rule.
![M(5, 6)\to M'(-6,5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/egv7hw4ysxslig87so99tky3pno9h4y45k.png)
Hence the ordered pair of M' after point M (5, 6) is rotated 90° counterclockwise is (-6,5)