Find the midpoint of the segment with the given endpoints, D(1, 2) and E(-3, 6).

Solution:

The formula used to find the midpoint of the points (x₁, y₁) and (x₂, y₂) is

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

The endpoints given here are (1, 2) and (-3, 6)

Substituting the values in the formula

Midpoint = [(1 - 3)/2, (2 + 6)/2]

Midpoint = [-2/2, 8/2]

By further simplification

Midpoint = [-1, 4]

Therefore, the midpoint of the line segment is [-1, 4].

Find the midpoint of the segment with the given endpoints, D(1, 2) and E(-3, 6).

Summary:

The midpoint of the line segment whose endpoints are D(1, 2) and E(-3, 6) is [-1, 4].