Final answer:
The coordinates of point B, which is the image of point A(-1, 1) after being reflected over the point (3, -3), are (7, -7).
Step-by-step explanation:
When reflecting point A(-1, 1) over the point (3, -3), we find the reflected image by measuring the distance from A to the point of reflection and extending that distance on the opposite side.
Point A is 4 units to the left and 4 units up from (3, -3). This means point B will be 4 units to the right and 4 units down from (3, -3). So, the coordinates of point B will be (3+4, -3-4), which is (7, -7).