Question

The coordinate of point T are (3,-11). The midpoint of line ST is (3,-9). Find the coordinates of point S

Answer 1

(3,-7)

Explanation:

Midpoint Formula

(3,-9) = ((3+x)/2 , (-11+x)/2)

Solve for x coordinate

`3 = (3 + x)/(2) \\ 6 = 3 + x \\ 3 = x`

Solve for y coordinate

`- 9 = ( - 11 + x)/(2) \\ - 18 = - 11 + x \\ - 7 = y`

Therefore point s is (3, -7)