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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