We have the following:
The points S(-2,6) and T(2,-4)
a.
the midpoint is:
[tex]m=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
replacing:
[tex]m=(\frac{-2+2}{2},\frac{6+-4}{2})=(0,1)[/tex]
b.
the length is segment:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
replacing:
[tex]\begin{gathered} d=\sqrt[]{(2_{}-(-2)_{})^2+(-4-6_{})^2} \\ d=\sqrt[]{(2_{}+2)^2+(-4-6_{})^2} \\ d=\sqrt[]{(4)^2+(-10)^2} \\ d=\sqrt[]{16+100}=\sqrt[]{116}=10.8 \\ \end{gathered}[/tex]
The length is 10.8
