Final answer:
The two lines that must be switched for the robot to reach the upper-right corner facing west are Line 5 and Line 9, changing the order of movement and rotation.
Step-by-step explanation:
To move the robot from the starting position where it is initially facing north in a 5-by-5 grid to the upper-right corner facing west, two lines of the given program need to be switched. The correct lines to switch are Line 5 and Line 9. This means placing the ROTATE_LEFT() code before executing the MOVE_FORWARD() commands two times, allowing the robot to turn west before moving forward.
Specifically, the robot needs to move forward, rotate right to face east, move forward again until it reaches the edge, then rotate left twice to face west.