Answer:
Option A- (-1,8)
Step-by-step explanation:
Given : Point A is located at (2, 6), and D is located at (−4, 10).
To find : The coordinates of the point that lies halfway between A and D.
Solution : Let Point A (x_1,y_1)=(2,6) and Point D(x_2,y_2)=(-4,10)
Let the point B lies halfway between A and D.
Formula to find the coordinates of the mid point B between A and D is
[tex]B=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Substitute the value,
[tex]B=(\frac{2+(-4)}{2},\frac{6+10}{2})[/tex]
[tex]B=(\frac{-2}{2},\frac{16}{2})[/tex]
[tex]B=(-1,8)[/tex]
Therefore, Option A
The coordinates of the point B is (-1,8).