Question

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

Answer 1

(2,-2)

Explanation:

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

`\left((x_1+x_2)/(2),(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((-2+6)/(2),(5+(-9))/(2)\right)\\ \\\left((4)/(2),(-4)/(2)\right)\\ \\(2,-2)`