Question

Point A is located at (−2, −6), and D is located at (−6, 8). Find the coordinates of the point that lies halfway between A and D. (5 points) (0, 2) (−2, 3) (−3, 0) (−4, 1)

Answer 1

Answer with explanation:

Coordinates of point A = (-2, -6)

Coordinates of point D = (-6,8)

Mid point formula of two points , (a,b) and (c,d) having mid point (m,n).

`m=(a+c)/(2),n=(b+d)/(2)`

Let, (x,y) be mid point of Line segment from A to D.

`x=(-2-6)/(2)\\\\x=(-8)/(2)\\\\x=-4\\\\y=(-6+8)/(2)\\\\y=(2)/(2)\\\\y=1`

Option D: (-4, 1)

Answer 2

(-4,1)

Explanation:

Point A is located at (−2, −6), and D is located at (−6, 8).

We need to find the midpoint of A and D

Mid point formula is
`((x_1+x_2)/(2), (y_1+y_2)/(2))`

Point A is (-2,-6) that is (x1,y1)

Point D is (-6,8) that is (x2, y2)

plug in the values in the formula

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

`((-2-6)/(2), (-6+8)/(2))`

`((-8)/(2), (2)/(2))`

Mid point is (-4, 1)