Respuesta :

Answer:

The answer is

( - 3 , - 9)

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question

N(10, −14) and P(−16, −4)

The midpoint is

[tex]M = ( \frac{10 - 16}{2} \: , \: \frac{ - 14 - 4}{2} ) \\ = ( - \frac{6}{2} \: , \: - \frac{18}{2} )[/tex]

We have the final answer as

( - 3 , - 9)

Hope this helps you