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)


Sagot :

The formula for the midpoint:
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
x₁, y₁ - the coordinates of one endpoint
x₂, y₂ - the coordinates of the other endpoint

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

Answer:

The Answer is -1, 4

Step-by-step explanation: