Question

Point A is located at (2, 6), and D is located at (−4, 10). Find the coordinates of the point that lies halfway between A and D. (5 points)
(−1, 8)
(3, 2)
(−2, 7)
(−3, 4)

Answer 1

$(( \frac{1}{2} (( - 4) - 2) + 2and( \frac{1}{2} (10 - 6)) + 6$
the answer is(-1,8)

Answer 2

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

$B=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Substitute the value,

$B=(\frac{2+(-4)}{2},\frac{6+10}{2})$

$B=(\frac{-2}{2},\frac{16}{2})$

$B=(-1,8)$

Therefore, Option A

The coordinates of the point B is (-1,8).