6.2: Exploring Linear Equations
This activity is intended to supplement Algebra I, Chapter 5, Lesson 5.
In this activity we will
 Enter “life expectancy” data into lists and set up scatter plots.
 Trace the scatter plot to select two points. Use the points to calculate slope and write a linear equation.
 Use the APP to fit the data using a linear equation in slopeintercept form and analyze the meaning of the slope and the intercept in relationship to birth year and life expectancy.
Birth Year  Female  Male  Combined 

1940 



1950 



1960 



1970 



1975 



1980 



1985 



1990 



1995 



1998 



Problem 1  Enter Data into the Table
Press STAT Edit.
Enter Birth Year into
Set up a scatter plot of Birth Year versus Female Life Expectancy. Press
Press WINDOW to set the window with the settings shown.
Press TRACE. Select two points that seem to fall on the line that would best fit the data.
Using the
Press APPS and locate the Transformation Graphing APP (Transfrm). Press ENTER.
Press any key as directed. You will be sent to the home screen and it will appear as though nothing has happened.
Press
Press GRAPH. By default A will be set at
Type in the value of A found when calculating slope in an earlier step (
To adjust the slope of the line for finetuning, press WINDOW to view the settings. Reset the step to \begin{align*}.001\end{align*}
To further adjust the line for finetuning, press WINDOW to view the settings. Reset the step to \begin{align*}.1\end{align*}
Return to the graph. Use the right and left arrows to adjust \begin{align*}B\end{align*}
Extension
Repeat for the life expectancy of males or for males and females combined. This allows students to practice using two points to calculate slope and write a linear equation and get immediate feedback on their accuracy.
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