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
 Find the slope of the line that connects the given points.
 \((0,0)\) and \((3,2)\)
 \((4,2)\) and \((10,7)\)
 \((1,\text{}2)\) and \((2,5)\)
 \((\text{}3,4)\) and \((\text{}5,\text{}2)\)
 \((8,3)\) and \((10,\text{}9)\)

For each pair of points, find the slope of the line that goes through the 2 points.
 \(A\) and \(B\)
 \(A\) and \(D\)
 \(B\) and \(C\)
 \(C\) 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 
 What do the slopes of the segments mean?
 Find the slope of the segment between 2004 and 2005 for unemployment in Michigan.
 Between what 2 years is the slope for the United States unemployment percentage greatest?
 Explain your reasoning using the graph.
 Explain your reasoning using the table.
 Between what 2 years is the slope for the United States unemployment percentage the least? Explain or show your reasoning.