The coordinates of the midpoint is (2.5, 0.5).
It is required to find coordinates of the midpoint.
What is co-ordinate geometry?
Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.
Given that:
The Midpoint Formula is
[tex](\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} )[/tex]
For the points (-4,9) and (6,-5)
[tex]x_{1} =-4\\x_{2} =9\\y_{1} =6\\y_{2}=-5[/tex]
By put the value in the Midpoint Formula are,
[tex](\frac{-4+9 }{2} ,\frac{6-5 }{2} )\\\\(5/2,1/2)\\[/tex]
The midpoint is
(2.5, 0.5).
Therefore, the coordinates of the midpoint is (2.5, 0.5).
Learn more about co-ordinate geometry here:
https://brainly.com/question/28280449
#SPJ2
