Find the coordinates of the midpoint of the segment whose endpoints are (10, 6) and (-4, 8).

Solution:

Given, the end points of the line segment are (10, 6) and (-4, 8).

We have to find the mid-point of the line segment

By mid-point formula,

[(x₁ + x₂)/2, (y₁ + y₂)/2]

Coordinates of the midpoint = [(10 - 4)/2, (6 + 8)/2]

= [6/2, 14/2]

= (3, 7)

Therefore, the coordinates of the midpoint of the segment is (3, 7).

Find the coordinates of the midpoint of the segment whose endpoints are (10, 6) and (-4, 8).

Summary:

The coordinates of the midpoint of the segment whose endpoints are (10, 6) and (-4, 8) is (3, 7).