Answer:
[tex](-4,-\frac{1}{2})\\[/tex]
Step-by-step explanation:
The midpoint between two points can be calculated by [tex](\frac{x_1 +x_2}{2}, \frac{y_1 +y_2}{2})\\[/tex] where [tex]x_n[/tex] and [tex]y_n[/tex] is the [tex]xy[/tex]-coordinates of point [tex]n[/tex].
In your case we have two endpoints: [tex]A(-5,-4)[/tex] and [tex]B(-3,3)[/tex]. So the midpoint can be calculated as:
[tex](\frac{x_A +x_B}{2}, \frac{y_A +y_B}{2}) \\ (\frac{-5 +(-3)}{2}, \frac{-4 +3}{2}) \\ (\frac{-5 -3}{2},\frac{-4 +3}{2}) \\ (\frac{-8}{2},\frac{-1}{2}) \\ (-4,-\frac{1}{2})[/tex]
The midpoint of [tex]\overline{AB}[/tex] is [tex](-4,-\frac{1}{2})\\[/tex]
