Question

If the endpoints of AB have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB?

Answer 1

The midpoint, if the endpoints are (x₁,y₁) and (x₂,y₂):

`((x_1+x_2)/(2), (y_1+y_2)/(2))`


`(9,8) \\ x_1=9 \\ y_1=8 \\ \\ (-1,-2) \\ x_2=-1 \\ y_2=-2 \\ \\ (x_1+x_2)/(2)=(9-1)/(2)=(8)/(2)=4 \\ (y_1+y_2)/(2)=(8-2)/(2)=(6)/(2)=3`

The midpoint of AB is (4,3).