Question

The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).

What are the coordinates of P'?
P’(1, 2)
P'(1, 1)
P'(1, –3)
P'(4, 4)

Answer 1

P' (1,-3) because (6-5=1, -1-2=-3).

Answer 2

C) coordinates of P' (1, - 3).

Explanation:

Given : The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).

To find : What are the coordinates of P'.

Solution : we have given point P(6, –1) .

By the rule (x, y) → (x – 5, y – 2).

Where x = 6 ,y = -1.

After translation point become :

Then P(6, –1) →P' (6 – 5, -1 – 2).

P(6, –1) →P' (1, - 3).

Therefore, C) coordinates of P' (1, - 3).