Respuesta :

The answer is (3,2) 
because of the midpoint formula 

Answer:

(3,2)

Step-by-step explanation:

Given line CD where C(2, −6) and D(4, 10).

The Coordinates of the midpoint are determined by the expression:

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

Using the (x,y) coordinate system

[tex]x_1=2, x_2=4 , y_1=-6, y_2=10[/tex]

[tex](\dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2})=(\dfrac{2+4}{2} , \dfrac{-6+10}{2})\\=(\dfrac{6}{2} , \dfrac{4}{2})\\=(3,2)[/tex]

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