Question

What are the coordinates of the midpoint of CD¯¯¯¯¯ where C(2, −6) and D(4, 10)?

(3, 2)

(2, 3)

(3, −8)

(−1, 2) i think its A

Answer 1

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

Answer 2

(3,2)

Explanation:

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

The Coordinates of the midpoint are determined by the expression:

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

Using the (x,y) coordinate system

`x_1=2, x_2=4 , y_1=-6, y_2=10`

`((x_1+x_2)/(2) , (y_1+y_2)/(2))=((2+4)/(2) , (-6+10)/(2))\\=((6)/(2) , (4)/(2))\\=(3,2)`