Find the midpoint of the line segment whose endpoints are (-2, 5) and (4, -9).

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 (-2, 5) and (4, -9)

Substituting the values in the formula

Midpoint = [(-2 + 4)/2, (5 - 9)/2]

Midpoint = [2/2, -4/2]

By further simplification

Midpoint = [1, -2]

Therefore, the midpoint of the line segment is [1, -2].

Find the midpoint of the line segment whose endpoints are (-2, 5) and (4, -9).

Summary:

The midpoint of the line segment whose endpoints are (-2, 5) and (4, -9) is [1, -2].