Final answer:
The coordinates of Y are (-3, -4).
Step-by-step explanation:
The coordinates of Y can be found by using the midpoint formula. If (3, 4) is the midpoint between X(0, 0) and Y, then the coordinates of Y can be calculated as follows:
Let (x, y) be the coordinates of Y.
Using the midpoint formula, (0, 0) is the midpoint of (3, 4) and (x, y), so:
(0, 0) = ((3 + x) / 2, (4 + y) / 2)
Simplifying this equation gives:
x = -3 and y = -4
Therefore, the coordinates of Y are (-3, -4).
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