Final answer:
To find the midpoint between points A(2,6) and B(12,6), apply the midpoint formula. The average of x-coordinates is (2 + 12)/2 = 7, and the average of y-coordinates is (6 + 6)/2 = 6. Thus, the midpoint C is located at (7,6), representing the point that partitions the line segment between A and B.
Step-by-step explanation:
The coordinates of the point that is partitioned from point A to B can be found using the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates. In this case, we have point A(2,6) and point B(12,6). So, the midpoint would have the x-coordinate (2 + 12)/2 = 7 and the y-coordinate (6 + 6)/2 = 6. Therefore, the coordinates of the point that is partitioned from point A to B is C(7,6).