Question

The point P (x, y) is mapped onto P₁(5,9) under a translation by the vector (4). Find the coordinate of P.

A. (9, 13)
B. (1, 5)
C. (x + 4, y + 4)
D. (9, 5)

Answer 1

The coordinate of point P is (1, 5).

Step-by-step explanation:

To find the coordinates of point P (x, y), we need to reverse the translation by the vector (4) that maps P to P₁(5,9). The reverse translation would be subtracting the vector (4) from the coordinates of P₁. So, the coordinates of P would be (5-4, 9-4), which simplifies to (1, 5).

Therefore, the correct coordinate of point P is (1, 5).