Given Coordinates: x1 = 2 y1 = 9, x2 = 10 y2 = -5
Midpoint Formula: midpoint = (
Substitute the given coordinates into the Midpoint Formula and Simplify:midpoint = (
Therefore, (6, 2) is the midpoint of the points (2, 9) and (10, -5)
Midpoint Formula: midpoint = (
x1 + x2/2
, y1 + y2/2
)Substitute the given coordinates into the Midpoint Formula and Simplify:midpoint = (
2 + 10/2
, 9 + (-5)/2
)midpoint = ( 2 + 10/2
, 9 − 5/2
)midpoint = ( 12/2
, 4/2
)midpoint = (6, 2)Therefore, (6, 2) is the midpoint of the points (2, 9) and (10, -5)