Question

A line segment is drawn between the points (5,8) and (-1,6). What are the coordinates of the midpoint of the segment?

Answer 1

The formula of a midpoint between two points:

`M\left((x_1+x_2)/(2),\ (y_1+y_2)/(2)\right)`

We have (5, 8) and (-1, 6).

Substitute:

`(5+(-1))/(2)=(4)/(2)=2\\\\(8+6)/(2)=(14)/(2)=7`

Answer: The coordinates of the midpoint of the segment are (2, 7).