To plot the image of a point P under the translation (x, y) → (x - 4, y - 6), you can follow these steps:
1. Start with the coordinates of point P.
2. Apply the translation by subtracting 4 from the x-coordinate and 6 from the y-coordinate to find the new coordinates of the image.
Let's say the coordinates of point P are (a, b). The coordinates of the image of P under the translation (x, y) → (x - 4, y - 6) would be (a - 4, b - 6).
For example, if P has coordinates (2, 8), the image of P under the translation would be:
New x-coordinate = 2 - 4 = -2
New y-coordinate = 8 - 6 = 2
So, the image of point P(2, 8) under the translation (x, y) → (x - 4, y - 6) is P'(-2, 2).