Answer: S(12,-13)
Step-by-step explanation:
Let the midpoint of ST is N(6,-5)
Hence,
[tex]\displaystyle\\x_N=\frac{x_T+x_S}{2}[/tex]
Multiply both parts of the equation by 2:
[tex]2x_N=x_T+x_S\\2x_N-x_T=x_T+x_S-x_T\\2x_N-x_T=x_S\\(2)(6)-0=x_S\\12=x_S\\[/tex]
[tex]Similarly\ solve\ for\ y_N: \\y_S=2y_N-y_T\\y_S=(2)(-5)-3\\y_S=-10-3\\y_S=-13[/tex]
[tex]Thus,\ S(12,-13)[/tex]
