Final answer:
When a point is reflected in the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. Therefore, the image of point A at (4, -7) reflected in the x-axis will be located at (4, 7).
Step-by-step explanation:
When a point is reflected in the x-axis, the y-coordinate of the point changes sign while the x-coordinate remains the same. In this case, point A is located at (4, -7). So, when A is reflected in the x-axis, the x-coordinate remains the same as 4, but the y-coordinate changes sign to become positive. Therefore, its image will be located at (4, 7).