Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I': Which rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I'? (4 points)

(x, y)→(x + 4, x − 2)
(x, y)→(x − 7, y + 7)
(x, y)→(x + 2, x − 4)
(x, y)→(x + 7, y − 7)

The answer would be “(x, y)→(x + 7, y − 7)”.

Step-by-step explanation:

First, you should choose a point from hexagon DEFGHI. (Any point is fine, But I used point F.

“x + 7” means to the move right 7 spaces.

x is the horizontal line (goes left to right). You would move your point to the right because the number is positive.

Point F moves 7 spaces to the right and lands on coordinates (6,4). Then we move on to the second step.

“y − 7” means to move down 7 spaces.

y is the vertical line (goes up and down). You would move your point down because the number is negative.

Point F moves from where it is now (aka 6,4) and 7 spaces down.

Now your point should line up with the another point. In this case, point F is now sitting at where point F’ is.

If you chose any other point, it should go to it’s own destination.

This means

D should now be at D’

E should be at E’

G should be at G’

etc.

y=mx+