Point A(-6,6) is reflected around point (0,7). The reflected point is B.
In order to determine what is the reflected point, it is necessay to calculate the horizontal and vertical distance from point A to point (0,7).
Subtract x-coordinates and y coordinates of both points:
horizontal distance = 0 - (-6) = 6
vertical distance = 7 - 6 = 1
Next, add the horizontal distance to the x-coodinate of point (0,7) and add the vertical distance to y-coordinate.
For x-coordinate you add because x-coordinate of point A is at the left of (0,7) and for y-coordinate you add because y-coordinate is below.
Then, you have:
x-coordinate of point B = 0 + 6 = 6
y-coordinate of point B = 7 + 1 = 8
Hence, the point B is B(6,8)