Respuesta :
We are given two points having the following coordinates
[tex](x_1,y_1)=(2,-1)\text{ and }(x_2,y_2)=(-6,0)[/tex]We are asked to find out the midpoint of these two points
Recall that the midpoint formula is given by
[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})_{}[/tex]Let's substitute the given coordinates into the above formula
[tex]\begin{gathered} (x_m,y_m)=(\frac{2-6}{2},\frac{-1_{}+0}{2})_{} \\ (x_m,y_m)=(\frac{-4}{2},\frac{-1_{}}{2}) \\ (x_m,y_m)=(-2,-\frac{1_{}}{2}) \end{gathered}[/tex]Therefore, the midpoint of the points (2,-1) and (-6,0) is found to be (-2, -1/2)
[tex](x_m,y_m)=(-2,-\frac{1_{}}{2})[/tex]