Respuesta :

Answer:

The answer is (-2 , - 3)

Step-by-step explanation:

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

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} ) \\ [/tex]

where

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

So we have

[tex]m = ( \frac{3 - 7}{2} , \frac{ - 7 + 1}{2} ) \\ = ( - \frac{4}{2} , - \frac{6}{2} )[/tex]

We have the final answer as

( - 2 , - 3)

Hope this helps you

Step-by-step explanation:

Hey there!

The given points are; P(3,-7) and Q(-7,1)

Note: Use midpoint formula.

[tex]midpoint(x,y) = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Put all values.

[tex](x,y) =( \frac{3 - 7}{2} , \frac{ - 7 + 1}{2} )[/tex]

Simplify it.

[tex](x,y) = (-2 , - 3[/tex])

Therefore, midpoint is (-2 ,-3).

Hope it helps...