Respuesta :
- Midpoint Formula: [tex](\frac{x_2+x_1}{2} ,\frac{y_2+y_1}{2} )[/tex]
Plug the coordinates into the midpoint formula and solve as such:
[tex](\frac{2+8}{2} ,\frac{-5+3}{2} )\\\\(\frac{10}{2} ,\frac{-2}{2} )\\\\(5,-1)[/tex]
Your midpoint is (5,-1).
The coordinates of the mid point of line segment is (5,-1).
Find the coordinates using midpoint formula
The mid point formula is given by [tex](\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
where [tex]x1, x2[/tex] are the two x-coordinates of the given points
and [tex]y1,y2[/tex] are the two y-coordinates of the given points.
By the problem, points given (2,-5) and (8,3).
Thus by the given mid-point formula, we have
Mid-point = [tex](\frac{2+8}{2} , \frac{-5+3}{2} )[/tex]
= [tex](\frac{10}{2} , \frac{-2}{2} )[/tex]
∴ Mid point = [tex](5,-1)[/tex]
Thus the coordinates of the midpoint of the line segment with the endpoints (2,-5) and (8,3) is (5,-1).
To learn more about mid-point coordinates, refer -
https://brainly.com/question/16471856
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