Respuesta :

Answer:

(5, -1)

Step-by-step explanation:

Add the x-coordinates and divide by 2.

Add the y-coordinates and divide by 2.

x-coordinate of midpoint: (2 + 8)/2 = 10/2 = 5

y-coordinate of midpoint: (-5 + 3)/2 = -2/2 = -1

Midpoint: (5, -1)

The midpoint of a segment divides the segment into equal halves.

The coordinates of the midpoint of the line segment is (5,-1)

The coordinates of the line segment given as:

[tex]A= (2,-5)[/tex]

[tex]B = (8,3)[/tex]

The midpoint (m) is calculated using

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

So, we have:

[tex]m = (\frac{2 + 8}{2},\frac{-5+3}{2})[/tex]

Simplify

[tex]m = (\frac{10}{2},\frac{-2}{2})[/tex]

Divide 10 and -2 by 2

[tex]m = (5,-1)[/tex]

Hence, the coordinates of the midpoint of the line segment is (5,-1)

Read more about midpoints at:

https://brainly.com/question/16828532