Respuesta :

Answer:

The mid point of segment connecting (-1, -9) and (-10, 4) is [tex](\frac{-11}{2}  , \frac{-5}{2})[/tex]

Step-by-step explanation:

The coordinates of the given points are  A(-1,-9) and B (-10,4).

Here, let us assume the point P (x,y) is the mid point of the segment AB.

By MID POINT FORMULA:

The mid point of segments with points ( x1,y1) and (x2,y2) is given as:

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

So, here the coordinates of P are : [tex](x,y) = (\frac{-1 + (-10)}{2} , \frac{-9+ 4}{2})  = (\frac{-11}{2}  , \frac{-5}{2})[/tex]

⇒[tex]P(x,y) =  (\frac{-11}{2}  , \frac{-5}{2})[/tex]

Hence, the mid point of segment connecting (-1, -9) and (-10, 4) is [tex](\frac{-11}{2}  , \frac{-5}{2})[/tex]