Hello!
The answer is:
The coordinates of the midpoint are:
![x-coordinate=0.5\\y-coordinate=2.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tqbwt4aicp3ami1x9i08xp52xltuztp15n.png)
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:
![MidPoint=((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8mk0fk1fw1c1bs13z3fg9aq67e92h2e70t.png)
We are given the points:
![(3,5)\\](https://img.qammunity.org/2020/formulas/mathematics/middle-school/o3vr9lhdvjrwnhs0n03xarqyzhprnxh4b9.png)
and
![(-2,0)\\](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9yzc9tdb6aeasy9jr8g6r8prcctonm3hs8.png)
Where,
![x_(1)=3\\y_(1)=5\\x_(2)=-2\\y_(2)=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hgru4w6ua1vsdnwjdkoxww0rjc837a1ve0.png)
So, calculating the midpoint, we have:
![MidPoint=((3+(-2))/(2),(5+0)/(2))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vyc9e57elxttmpm27t8adrezbmh5zjmtom.png)
![MidPoint=((1)/(2),(5)/(2))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/inhhrd85y7en266napitrtu1cb94esad4x.png)
![MidPoint=(0.5,2.5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y4lxpjor9nr4o9wde9t6dfq3ooch8ql5et.png)
Hence, we have that the coordinates of the midpoint are:
![x-coordinate=0.5\\y-coordinate=2.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tqbwt4aicp3ami1x9i08xp52xltuztp15n.png)
Have a nice day!