Hello!
The answer is:
The coordinates of the midpoint are:
[tex]x-coordinate=0.5\\y-coordinate=2.5[/tex]
Why?
We can find the midpoint of the segment with the given endpoints using the following formula.
The midpoint of a segment is given by:
[tex]MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
We are given the points:
[tex](3,5)\\[/tex]
and
[tex](-2,0)\\[/tex]
Where,
[tex]x_{1}=3\\y_{1}=5\\x_{2}=-2\\y_{2}=0[/tex]
So, calculating the midpoint, we have:
[tex]MidPoint=(\frac{3+(-2)}{2},\frac{5+0}{2})[/tex]
[tex]MidPoint=(\frac{1}{2},\frac{5}{2})[/tex]
[tex]MidPoint=(0.5,2.5)[/tex]
Hence, we have that the coordinates of the midpoint are:
[tex]x-coordinate=0.5\\y-coordinate=2.5[/tex]
Have a nice day!
