The given point is reflected across the line indicated. Find the coordinates of the image.

U across x=2
U=(7,6)

To reflect a point across a vertical line, we keep the x-coordinate the same and change the sign of the y-coordinate.

Since the line of reflection is x=2, the x-coordinate of the image will also be 2.

Now, we need to find the y-coordinate of the image. Since U has a y-coordinate of 6, the image will have a y-coordinate of -6 (changing the sign).

Therefore, the coordinates of the image are (2, -6).