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

`(( (1)/(2) (( - 4) - 2) + 2and( (1)/(2) (10 - 6)) + 6`
the answer is(-1,8)

Answer 2

Option A- (-1,8)

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

Substitute the value,

`B=((2+(-4))/(2),(6+10)/(2))`

`B=((-2)/(2),(16)/(2))`

`B=(-1,8)`

Therefore, Option A

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