For a better understanding of the solution provided here please find the diagram attached.
Please note that in coordinate geometry, the coordinates of the midpoint of a line segment is always the average of the coordinates of the endpoints of that line segment.
Thus, if, for example, the end coordinates of a line segment are and then the coordinates of the midpoint of this line segment will be the average of the coordinates of the two endpoints and thus, it will be:
Thus for our question the endpoints are and and hence the midpoint will be:
Thus, Option C is the correct option.
Answer:
the answer is 3 because 2a-2a+6a-2+2+2
2a-2a=0
6a-2+2+2=
6a-6
a= 3