First, let's determine the coordinates of the large dot. To get the coordinates, simply find the number on the x and y-axis that intersects on that large dot.
On the x-axis, the number is -7 while on the y-axis, the number is -5. Therefore, the coordinate of the point in the original figure is (-7, -5).
If the figure is translated 8 units to the right, we will add 8 on the x-coordinate.
If the figure is translated 7 units up, we will add 7 on the y-coordinate.
Therefore, after the given translation, the coordinate of the point in the final figure is (1, 2).
See the final figure below.