The midpoint of line segment RS is M(4, -1). The coordinates of R are (1, 3). What are the coordinates of S?

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Question

The midpoint of line segment RS is M(4, -1). The coordinates of R are (1, 3). What are the coordinates of S?

Accepted Answer

(7, -5) — Award 1 mark for correct reverse application of midpoint formula. If M = ((1+x)/2, (3+y)/2) = (4, -1), then (1+x)/2 = 4 gives x = 7, and (3+y)/2 = -1 gives y = -5. A is incorrect — this is the midpoint of R and M. C is incorrect — this subtracts M from R incorrectly. D is incorrect — this results from an arithmetic error.

Answer

(5, 2)

Answer

(-3, 5)

Answer

(2.5, 1)

Answer

(7, -5)

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