Final answer:
The reflection of the point (7, -5) across the line y = 3 will be at (7, 11), which is 8 units above the line y = 3. None of the provided options match this answer, so the correct choice is 'None of the above'.
Step-by-step explanation:
The student asked to find the coordinates of the image of the point (7, -5) when it is reflected across the line y = 3. To find the reflection across a line, we need to determine how far the original point is from the line and then translate the point vertically by that distance on the opposite side of the line. In this case, the original point (7, -5) is 8 units below the line y = 3 (since -5 is 8 units less than 3). The image will then be located 8 units above the line y = 3, which is at y = 11 (3 + 8). So, the x-coordinate remains the same (7), and the y-coordinate is now 11.
Therefore, the coordinates of the image are (7, 11), which is not one of the provided options, so the correct answer is None of the above.