Question

What is the midpoint of the segment whose endpoints are (8, 10, –3) and (4, –2, –9)?

Answer 1

(6, 4, -6)

Explanation:

The midpoint of two points is half-way between their x-, y-, and z-values.

For the x-coordinate,

(x₂ + x₁)/2 = (4 + 8)/2 = 12/2 = 6

For the y-coordinate,

(y₂ + y₁)/2 = (-2 + 10)/2 = 8/2 = 4

For the z-coordinate,

(z₂ + z₁)/2 = [-9 + (-3)]/2 = -12/2 = -6

The coordinates of the midpoint are (6, 4, -6).