Question

Find the midpoint of the segment with the given endpoints. D(1, 2) and E(–3, 6)

A. (–7, 10)


B. (–2, 2)


C. (–1, 4)


D. (4, 64)

Answer 1

The Answer is -1, 4

Explanation:

Answer 2

The formula for the midpoint:

`((x_1+x_2)/(2),(y_1+y_2)/(2))`
x₁, y₁ - the coordinates of one endpoint
x₂, y₂ - the coordinates of the other endpoint


`(1,2) \\ x_1=1 \\ y_1=2 \\ \\ (-3,6) \\ x_2=-3 \\ y_2=6 \\ \\ (x_1+x_2)/(2)=(1-3)/(2)=(-2)/(2)=-1 \\ \\ (y_1+y_2)/(2)=(2+6)/(2)=(8)/(2)=4 \\ \\ \boxed{(-1,4)} - \hbox{the midpoint} \Leftarrow \hbox{the answer is C}`