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
