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)

Explanation:

Use the midpoint formula:

`.\qquad \qquad \qquad (S+T)/(2)=M\\\\(S_x+T_x)/(2)=M_x\qquad \qquad \quad (S_y+T_y)/(2)=M_y\\\\\\(3+T_x)/(2)=-2\qquad \qquad \qquad (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)