To find the midpoint of a line segment defined by two endpoints, you can use the midpoint formula. The formula is given by:
Midpoint (M) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Here, (x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints. In this case, the endpoints are:
- (x₁, y₁) = (6, 4)
- (x₂, y₂) = (2, 8)
Now plug the coordinates into the formula:
- M = ((6 + 2) / 2, (4 + 8) / 2)
- M = (8 / 2, 12 / 2)
- M = (4, 6)
Thus, the coordinates of the midpoint of the segment connecting (6, 4) and (2, 8) are (4, 6).