X+ 3y =6
i have to get the variable y by its self.

A'(-3, -2)

B'(-2, -1)

C'(-2, -2)

Step-by-step explanation:

The translation is (x - 7, y + 1).

That means subtract 7 from the x-coordinate and add 1 to the y-coordinate of each point.

Point A is (4, -3).

Subtract 7 from the x-coordinate 4 to get -3.

Add 1 to the y-coordinate -3 to get -2.

For point A, you get A'(-3, -2) after the translation.

Do the same with points B and C.

B(5, -2) ---> B'(5 - 7, -2 + 1) = B'(-2, -1)

C(5, -3) ---> C'(5 - 7, -3 + 1) = C'(-2, -2)