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.