1. Find the slope of the line that connects the given points.
   1. and
   2. and
   3. and
   4. and
   5. and

2. For each pair of points, find the slope of the line that goes through the 2 points.

   

   4 points on a coordinate grid, origin O. X axis negative 6 to 6, by 2s. Y axis negative 6 to 6, by 2s. Point A, 2 comma 3. Point B 4 comma negative 1. Point C negative 2 comma 5. Point D negative 1 comma negative 3.

   1. and
   2. and
   3. and
   4. and

The graph and table represent the same data about the percentage of the workforce unemployment in Michigan and the United States for the years 2003 to 2015.

A graph. Horizontal axis, year,  scale 2003 to 2015 by 1s. Vertical axis, percentage of workforce unemployment, 0 to 14, by 1s. A key shows a blue line represents Michigan data and a black line represents United States data. The black line passes through the points 2003 comma 6 comma  2004 comma 5.5, 2005 comma 5.1, 2006 comma 4.6, 2007 comma 4.6, 2008 comma 5.8, 2009 comma 9.3, 2010 comma 9.6, 2011 comma 8.9, 2012 comma 8.1, 2013 comma 7.4, 2014 comma 6.2, and 2015 comma 5.3. The blue line passes through the points 2003 comma 7.2, 2004 comma 7, 2005 comma 6.8, 2006 comma 7, 2007 comma 7, 2008 comma 8, 2009 comma 13.7, 2010 comma 12.6, 2011 comma 10.4, 2012 comma 9.1, 2013 comma 8.8, 2014 comma 7.2, and  2015 comma 5.4.

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 connecting points for consecutive years 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 consecutive years is the slope for the United States unemployment percentage the least? Explain or show your reasoning.