Question

Find the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9). (4, -4) (2, -2) (1, -4)

Answer 1

Answer:

(2,-2)

Step-by-step explanation:

The midpoint of the line segment with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ has coordinates

$\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

If the endpoints of the line segment are (-2,5) and (6,-9), then the midpoint has the coordinates

$\left(\dfrac{-2+6}{2},\dfrac{5+(-9)}{2}\right)\\ \\\left(\dfrac{4}{2},\dfrac{-4}{2}\right)\\ \\(2,-2)$