
Midpoint of a line segment
To find the midpoint of a line segment on the coordinate system, simply take the average of the xcoordinates and the
average of the ycoordinates
Let (x_{1} , y_{1}) and (x_{2} , y_{2}) represent the endpoints of a line segment.
Therefore, the formula to get the midpoint is: ((x_{1} + x_{2}) ÷ 2 , (y_{1} + y_{2}) ÷ 2)
Example #1:
Graph (2, 4) and (4, 8) and find the midpoint
((x_{1} + x_{2}) ÷ 2 , (y_{1} + y_{2}) ÷ 2) = ((2 + 4) ÷ 2, (4 + 8)÷ 2) = ( 6 ÷ 2, 12 ÷ 2) = (3 , 6)
The graph is shows below:
Example #2:
Graph (4, 2) and (0, 6) and find the midpoint
((x_{1} + x_{2}) ÷ 2 , (y_{1} + y_{2}) ÷ 2) = ((4 + 0) ÷ 2, (2 + 6)÷ 2) = ( 4 ÷ 2, 8 ÷ 2) = (2 , 4)
The graph is shows below:

