# Lesson 7

Slopes of Segments

• Let’s look at slopes again.

### 7.1: Math Talk: Evaluating Fractions

Evaluate mentally.

$$\frac{102 - 96}{45 - 42}$$

$$\frac{\text{-}8 - 4}{6 - 2}$$

$$\frac{31 - 18}{5 - 10}$$

$$\frac{4 - 9}{12 - 18}$$

### 7.2: Connect the Dots

1. Find the slope of the line that connects the given points.
1. $$(0,0)$$ and $$(3,2)$$
2. $$(4,2)$$ and $$(10,7)$$
3. $$(1,\text{-}2)$$ and $$(2,5)$$
4. $$(\text{-}3,4)$$ and $$(\text{-}5,\text{-}2)$$
5. $$(8,3)$$ and $$(10,\text{-}9)$$
2. For each pair of points, find the slope of the line that goes through the 2 points.

1. $$A$$ and $$B$$
2. $$A$$ and $$D$$
3. $$B$$ and $$C$$
4. $$C$$ and $$D$$

### 7.3: Ups and Downs

Year Michigan United States
2003 7.2 6
2004 7 5.5
2005 6.8 5.1
2006 7 4.6
2007 7 4.6
2008 8 5.8
2009 13.7 9.3
2010 12.6 9.6
2011 10.4 8.9
2012 9.1 8.1
2013 8.8 7.4
2014 7.2 6.2
2015 5.4 5.3
1. What do the slopes of the segments mean?
2. Find the slope of the segment between 2004 and 2005 for unemployment in Michigan.
3. Between what 2 years is the slope for the United States unemployment percentage greatest?
1. Explain your reasoning using the graph.
2. Explain your reasoning using the table.
4. Between what 2 years is the slope for the United States unemployment percentage the least? Explain or show your reasoning.