Midpoint of a line segment
To find the midpoint of a line segment on the coordinate system, simply take the average of the x-coordinates and the
average of the y-coordinates
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: