Point P′(5, −4) is the image of point P(2, 3) under a translation. What is the image of (6, −2) under the same translation? A. (7, −1)
B. (13, −3)
C. (9, −9)
D. (3, 5)

C. (9, -9)

Step-by-step explanation:

From Linear Algebra, we understand translations as the following vector sum:

(Eq. 1)

Where:

- Original vector with respect to origin, dimensionless.

- Translation vector, dimensionless.

- Translated vector with respect to origin, dimensionless.

If we know that and , then the translation vector is:

Now, if we assume that , then the translated vector is:

Hence, the correct answer is C.