Find the coordinates of the midpoint of the line segment joining the points given below. (-6, 6, 1), (-4, 10, 11)
A) (-5, 2, 6)
B) (1, 2, 6)
C) (1, 8, 6)
D) (1, 8, 5)
E) (-5, 8, 6)

Question

Quizplus · Accepted Answer

The midpoint of a line segment with endpoints $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ is given by $\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2}\right)$. For the points (-6, 6, 1) and (-4, 10, 11), the midpoint is $\left(\frac{-6 - 4}{2}, \frac{6 + 10}{2}, \frac{1 + 11}{2}\right) = (-5, 8, 6)$.

Find the Coordinates of the Midpoint of the Line Segment