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P → P'(5, - 2) for (x,y) → (x-2,y) and reflection line y = 4. Find the coordinates of P.The coordinates of P are

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Final answer:

To find the coordinates of P after reflecting across a line y = 4, we can find the distance between the point and the line and move the point in the opposite direction by the same distance.


Step-by-step explanation:

Given the reflection line y = 4, we want to find the coordinates of P after applying the transformation P → P'(x-2, y).

In order to reflect a point across the line y = 4, we need to find the distance between the point and the line, and then move the point in the opposite direction by the same distance.

Let's assume the coordinates of P are (x, y). The distance between P and the line y = 4 is |y - 4|. So, the coordinates of P' will be (x - 2, y - 2(y - 4)).

Therefore, the coordinates of P are (5, 6).


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