Question

Worth 26 Points!!
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~ Midpoint of ST is M = (-2, -1). One endpoint is S = (3, 1). Find the coordinates of the other endpoint, T.

Answer 1

Answer:  T = (-7, -3)

Step-by-step explanation:

Use the midpoint formula:

$.\qquad \qquad \qquad \dfrac{S+T}{2}=M\\\\\dfrac{S_x+T_x}{2}=M_x\qquad \qquad \quad \dfrac{S_y+T_y}{2}=M_y\\\\\\\dfrac{3+T_x}{2}=-2\qquad \qquad \qquad \dfrac{1+T_y}{2}=-1\\\\\\3 + T_x=-4\qquad \qquad \qquad 1 + T_y = -2\\\\\\T_x = -7\qquad \qquad \qquad \qquad T_y=-3$

                 T = (-7, -3)