Respuesta :

The correct answer is:
(-1, -14).

Explanation:
The way to find a midpoint is by taking the average of each coordinate.

Since the x values are -10 and 8, the average would be -1:
[tex] \frac{-10+8}{2} [/tex] = -1.

Since the y values are -11 and -17, the average would be -14:
[tex] \frac{-11+-17}{2} [/tex] = -14.

Therefore the ordered pair is (-1, -14)

Answer:

mid point segment ( -1, -14).

Step-by-step explanation:

Given : endpoints (-10,-11) and (8,-17)

To find : Determine the midpoint of the segment .

Solution : We have given that endpoints (-10,-11) and (8,-17)

Mid point segment formula  : [tex]( \frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2} )[/tex].

Here, [tex]x_{1}[/tex] = -10 ,  [tex]x_{2}[/tex] = 8 ,  [tex]y_{1}[/tex] = -11 ,  [tex]y_{2}[/tex] = -17.

Plugging the above values in mid point segment formula.

[tex]( \frac{(-10)+8}{2} ,\frac{(-11)+(-17)}{2} )[/tex].

[tex]( \frac{-2}{2} ,\frac{-28}{2} )[/tex].

( -1, -14)

Therefore, mid point segment ( -1, -14).

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