Given Coordinates: x1 = -4 y1 = 1, x2 = 6 y2 = -1
Midpoint Formula: midpoint = (
Substitute the given coordinates into the Midpoint Formula and Simplify:midpoint = (
Therefore, (1, 0) is the midpoint of the points (-4, 1) and (6, -1)
Midpoint Formula: midpoint = (
x1 + x2/2
, y1 + y2/2
)Substitute the given coordinates into the Midpoint Formula and Simplify:midpoint = (
-4 + 6/2
, 1 + (-1)/2
)midpoint = ( -4 + 6/2
, 1 − 1/2
)midpoint = ( 2/2
, 0/2
)midpoint = (1, 0)Therefore, (1, 0) is the midpoint of the points (-4, 1) and (6, -1)