Question

Find the midpoint of the segment with the following endpoints. (7, -2) (1, -10)

Answer 1

Answer:

(4, -6)

Step-by-step explanation:

The formula of a midpoint of the segment AB:

$M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

We have A(7, -2) and B(1, -10). Substitute:

$M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)$

Answer 2

Midpoint = average of x and y
(7+1)/2 x value = 4
(-2+ -10)/2 y value = -6
Midpoint (4, -6)