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A graph is a fantastic visual representation of data. Graphs can be used to relay a large amount of data in a short time. Sometimes you may want more than what the graph provides, though. You may want the equation that represents the data, since it can be used to find any data point and is not restricted to the points displayed on the graph. During this unit you are learning how to graph a line and how to find the equation of a line . In the Unit 6 Discussion you will have the opportunity to do both.
There are three parts to the Unit 6 Discussion activity. Be sure to complete all three components to earn the most points! Click on the Discussion link located below the unit button to the left for full details and instructions.
Functions and Graphing
Shoe Size vs. Height
Part 1:
Your instructor will provide you with a link to a document in Google Drive to help you with the Discussion Board post. Open the first post on the Discussion Board to obtain the link to this information. Once you access the document, enter your height in inches and your standard U.S. shoe size. Notice your height is the x-value and your shoe size is the y-value in the table.
Once you have entered your information:
Click here to download the Grid document.
Fill in the table with your data point and the data point directly above yours in the Google document.
Graph the data points on the blank grid.
Draw the line connecting the two points.
Use the points to find the slope of the line connecting them. Do NOT find the equation of the line.
Your post must show the calculations for finding the slope and the Grid must be attached. Click here to see an example.
Part 2:
Respond to a classmate.
Does the line your classmate drew represent the data provided? If not, why not?
Recalculate the slope for the two data points that your classmate found. Is the slope correct? Show all of your calculations.
Use one of their data points, the slope, and point-slope form,
Part 3:
Respond to a classmate.
Use the equation of the line that a classmate found in their Part 2 post. According to their line, what would the shoe size be for someone who is 60 inches tall? What would the shoe size be for someone who is 84 inches tall? Do the answers make sense? Why or why not? Show all calculations. Click here to see an example.
Note: Your responses to your classmates must be substantive and advance the Discussion. Substantive means your reply must 1) include comments specific to that particular post and 2) contain information or insight worthy of sharing with the instructor and class. Contact your instructor if you have questions about making substantive responses. MM212 College Algebra Unit 6 Discussion