The diagram shows Lori's house located at $(6,3)$. If Alex's house is located at $(-2,-4)$, what translation is needed to get from Lori's house to Alex's house?

(A) 4 units left, 1 unit up

(B) 8 units right, 7 units up

(C) 4 units left, 1 unit down

(D) 8 units left, 7 units down

(E) 7 units right, 8 units down
The horizontal translation needed to get from Lori's house to Alex's house is the difference between the $x$-coordinate of Lori's house, 6 , and the $x$-coordinate of Alex's house, -2 , or $6-(-2)=6+2=8$.

The vertical translation needed to get from Lori's house to Alex's house is the difference between the $y$-coordinate of Lori's house, 3 , and the $y$-coordinate of Alex's house, -4 , or $3-(-4)=3+4=7$.

![](https://cdn.mathpix.com/cropped/2024_04_20_748fdafcde2a47412608g-188.jpg?height=363&width=640&top_left_y=1567&top_left_x=1333)

From Lori's house, Alex's house is left and down.

Therefore the translation needed to get from Lori's house to Alex's house is 8 units left and 7 units down.

ANSwer: (D)