Answer:
The correct option is C.
Step-by-step explanation:
Given information: End point of a line segment are A(3, –5) and C(2, 9).
We to find the midpoint of line segment AC.
If the end point of a segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
[tex]Midpoint=(\frac{3+2}{2},\frac{-5+9}{2})[/tex]
On simplification, we get
[tex]Midpoint=(\frac{5}{2},\frac{4}{2})[/tex]
[tex]Midpoint=(2.5,2)[/tex]
The midpoint of given segment is (2.5,2). Therefore the correct option is 3.
