Erin started with one corner of a figure located at $(-4, 5)$ and translated it to end at $(6, 8)$. To find out how far the shape moved horizontally, she decided to find the difference between the two $x$-coordinates. She wrote: $6 - (-4)$. .

1. When Erin simplified $6 - (-4)$ she got $2$ as her answer. Is this correct? If not, what is the correct simplification?

   Hint (a):

   Did Erin subtract correctly?

2. Write another expression to find out how far the shape moved vertically (↕). Simplify both expressions and describe the translation.

   Hint (b):

   To determine the vertical movement, find the difference between the vertical components of each point by subtracting the upper point by the lower point.

   Answer (b):

   Vertical translation: $8 - 5 = 3$
   The shape moved $10$ units right and $3$ units up.

3. Describe each of the translations below.

   1. $(3, -2) → (5, -9)$

   2. $(0, 0) → (-4 - 7)$

   3. $(-1, 4) → (6, -2)$

   4. $(-2, -9) → (2, 9)$