The mid-points of a line with coordinates:
[tex]\begin{gathered} (x_{1,}y_1)and(x_{2,}y_2)\text{ is given as:} \\ (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})_{} \end{gathered}[/tex]From the question, the coordinates of points A are (-2,-9) and (-8,1). This implies that:
[tex]\begin{gathered} x_1=-2,y_1=-9 \\ x_2=-8,y_2=1 \end{gathered}[/tex][tex]\begin{gathered} \text{Therefore, the midpoint of points A is:} \\ (\frac{-2-8}{2},\frac{-9+1}{2}) \\ \text{this becomes (}\frac{-10}{2},\frac{-8}{2})\text{ = (-5,-4)} \end{gathered}[/tex]Hence the midpoint of point A is (-5,-4).
To represent this graphically, we have: