Answer: The correct option is (A) (1.5, -5).
Step-by-step explanation: We are given to find the midpoint of a line segment with the endpoints (-6, -3) and (9, -7).
We know that
the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by
[tex]M=\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]
Therefore, the required co-ordinates of the midpoint of the given line segment will be
[tex]M=\left(\dfrac{-6+9}{2},\dfrac{-3+(-7)}{2}\right)=\left(\dfrac{3}{2},\dfrac{-10}{2}\right)=(1.5,-5).[/tex]
Thus, the required midpoint is (1.5, -5).
Option (A) is CORRECT.
