A translation moves point B (-5,3) to point B’ (2,1). What is the image of (x, y) under this translation? (X-3, y-2)
(X-3, y+2)
(X+7, y+2)
(X+7, y-2)

4th option

Step-by-step explanation:

Given

B (- 5, 3 ) → B' (2, 1 )

The change in the x- coordinates are - 5 → 2 , that is + 7

The change in the y- coordinates are 3 → 1 that is - 2

Then the translation rule is

(x, y ) → (x + 7, y - 2 )

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right

i have not got your picture clearly so see it once again