Final answer:
The coordinates of the image of the point (7, -5) when it is reflected across the line y = 3 are (7, 11).
Step-by-step explanation:
To find the image of the point (7, -5) when it is reflected across the line y = 3, we need to find the distance between the point and the line and then determine the reflected point. The distance between the point (7, -5) and the line y = 3 is the difference between the y-coordinate of the point and the y-coordinate of the line, which is |-5 - 3| = 8 units. Since the line of reflection is horizontal, the x-coordinate of the reflected point remains the same as the original point. However, the y-coordinate will change sign and be reflected about the line. Therefore, the coordinates of the reflected point are (7, 3 + 8) = (7, 11).