Question

The coordinates of point T are (0,3) The midpoint of ST is (6,-5) Find the coordinates of point S type in ordered pair

Answer 1

Answer: S(12,-13)

Explanation:

Let the midpoint of ST is N(6,-5)

Hence,

`\displaystyle\\x_N=(x_T+x_S)/(2)`

Multiply both parts of the equation by 2:

`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\\`

`Similarly\ solve\ for\ y_N: \\y_S=2y_N-y_T\\y_S=(2)(-5)-3\\y_S=-10-3\\y_S=-13`

`Thus,\ S(12,-13)`