Answer:
The midpoint M is located at the point (-7, -2)
Step-by-step explanation:
Definition
The midpoint of a line segment can be defined as the location of a point on the line segment that result in the formation of two congruent (equal) line segments out the single line segment
Where we have the location, M, as the of the midpoint of the line segment, the coordinates of M is given by the following relation;
[tex]M = \left ( \dfrac{x_1 + x_2}{2} , \ \dfrac{y_1 + y_2}{2} \right)[/tex]
Therefore, given the point. A (-9, 4) and B (-5, -8), we have;
[tex]M = \left ( \dfrac{ (-9) + (-5)}{2} , \ \dfrac{4 + (-8)}{2} \right) = \left ( \dfrac{-14}{2} , \ \dfrac{-4}{2} \right) = (-7, \ -2)[/tex]
The midpoint M, of the line segment is located at the point (-7, -2)
