Question

Calculate the midpoint of a line segment with the endpoints 7,12 and -1,6

Answer 1

The formula of a midpoint:

`M_(AB)\left((x_A+x_B)/(2),\ (y_A+y_B)/(2)\right)`

We have:

`A(7,\ 12)\to x_A=7,\ y_A=12\\B(-1,\ 6)\to x_B=-1,\ y_B=6`

Substitute:

`(7+(-1))/(2)=(7-1)/(2)=(6)/(2)=3\\\\(12+6)/(2)=(18)/(2)=9`

Answer: (3, 9).