Answer:
(5, 5)
Step-by-step explanation:
If M is the midpoint of segment AB, then we have ...
B = 2M -A
B = 2(2, 4) -(-1,3) = (2·2 +1, 2·4 -3) = (5, 5)
The point (5, 5) is a reflection of point A across point M.
_____
Using a graph, you can easily see that A is 1 down and 3 left of M, so that its reflection will need to be 1 up and 3 right of M.
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The formula above is derived from the relation ...
M = (A +B)/2 . . . . M is the midpoint of AB
2M = A +B . . . . . multiply by 2
2M -A = B . . . . . . subtract A to find B
