Answer:
The correct option is 3.
Step-by-step explanation:
If a line segment have two end points (x₁,y₁) and (x₂,y₂), then the midpoint of the line segment is defined as
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
It is given that we have segment with endpoints (5, 6) and (8, 2).
Substitute x₁=5, y₁=6, x₂=8 and y₂=2 in the above formula.
[tex]Midpoint=(\frac{5+8}{2},\frac{6+2}{2})[/tex]
[tex]Midpoint=(\frac{13}{2},\frac{8}{2})[/tex]
[tex]Midpoint=(\frac{13}{2},4)[/tex]
The midpoint of the given segment is [tex](\frac{13}{2},4)[/tex]. Therefore option 3 is correct.
