Given Coordinates: x1 = 2 y1 = 6, x2 = 4 y2 = 10
Midpoint Formula: midpoint = (
Substitute the given coordinates into the Midpoint Formula and Simplify:midpoint = (
Therefore, (3, 8) is the midpoint of the points (2, 6) and (4, 10)
Midpoint Formula: midpoint = (
x1 + x2/2
, y1 + y2/2
)Substitute the given coordinates into the Midpoint Formula and Simplify:midpoint = (
2 + 4/2
, 6 + 10/2
)midpoint = ( 6/2
, 16/2
)midpoint = (3, 8)Therefore, (3, 8) is the midpoint of the points (2, 6) and (4, 10)