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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)

Respuesta :

Answer:

(-4,1)

Step-by-step 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 [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

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

[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

[tex](\frac{-2-6}{2}, \frac{-6+8}{2})[/tex]

[tex](\frac{-8}{2}, \frac{2}{2})[/tex]

Mid point is (-4, 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).

                 [tex]m=\frac{a+c}{2},n=\frac{b+d}{2}[/tex]

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

 [tex]x=\frac{-2-6}{2}\\\\x=\frac{-8}{2}\\\\x=-4\\\\y=\frac{-6+8}{2}\\\\y=\frac{2}{2}\\\\y=1[/tex]

Option D: (-4, 1)

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