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).
Learn more about reflection across a line