  ### Home > CCAA > Chapter 6 Unit 9 > Lesson CC3: 6.1.3 > Problem6-27

6-27.

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?

Did Erin subtract correctly?

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

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

Vertical translation: $8−5=3$

The shape moved $10$ units right and $3$ units up.

3. Describe each of the translations below.

1. $(3,−2)→(5,−9)$

1. $(−1,4)→(6,−2)$

1. $(0,0)→(-4,−7)$

1. $(−2,−9)→(2,9)$ Explore the problem using the eTool below.
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