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