Answer: The correct option is
(C) [tex]\left(3,\dfrac{5}{2}\right).[/tex]
Step-by-step explanation: We are given to find the midpoint of the line segment shown in the figure.
From the graph, we can see that
the co-ordinates of the endpoints of the line segment are (-1, 2) and (7, 3).
We know that
the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) is given by
[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]
Therefore, the co-ordinates of the midpoint of the given line segment will be
[tex]\left(\dfrac{-1+7}{2},\dfrac{2+3}{2}\right)=\left(\dfrac{6}{2},\dfrac{5}{2}\right)=\left(3,\dfrac{5}{2}\right).[/tex]
Thus, the required midpoint of the given line segment is [tex]\left(3,\dfrac{5}{2}\right).[/tex]
Option (C) is CORRECT.
