Final answer:
After rotating Point Y(5, -1) 180 degrees counter-clockwise, the new location of Point Y' will be at (-5, 1).
Step-by-step explanation:
The student asked about rotating Point Y(5, -1) 180 degrees counter-clockwise around the origin. To rotate a point 180 degrees, you switch the sign of both the x- and y-coordinates. In this case, the x-coordinate 5 becomes -5, and the y-coordinate -1 becomes 1. Therefore, the new coordinates for Point Y' after the 180-degree counter-clockwise rotation will be (-5, 1).
The correct answer is: (-5, 1)