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About: Graphing Linear Equations and Inequalities: Finding the Equation of a Line

Module by: Wade Ellis, Denny Burzynski. E-mail the authors

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Name: Graphing Linear Equations and Inequalities: Finding the Equation of a Line
ID: m21998
Language: English (en)
Summary: This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. In this chapter the student is shown how graphs provide information that is not always evident from the equation alone. The chapter begins by establishing the relationship between the variables in an equation, the number of coordinate axes necessary to construct its graph, and the spatial dimension of both the coordinate system and the graph. Interpretation of graphs is also emphasized throughout the chapter, beginning with the plotting of points. The slope formula is fully developed, progressing from verbal phrases to mathematical expressions. The expressions are then formed into an equation by explicitly stating that a ratio is a comparison of two quantities of the same type (e.g., distance, weight, or money). This approach benefits students who take future courses that use graphs to display information. The student is shown how to graph lines using the intercept method, the table method, and the slope-intercept method, as well as how to distinguish, by inspection, oblique and horizontal/vertical lines. Objectives of this module: be able to find the equation of a line using either the slope-intercept form or the point-slope form of a line.
Subject: Mathematics and Statistics
Keywords: algebra, elementary, lines, point-slope form, slope-intercept form
License: Creative Commons Attribution License CC-BY 3.0

Authors: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu)
Copyright Holders: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu)
Maintainers: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu), LearningMate LearningMate (abhijit.chaturvedi@learningmate.com), Matt Gardner (mgardner@wordsandnumbers.com)

Latest version: 1.4 (history)
First publication date: Mar 4, 2009 3:12 am -0600
Last revision to module: Jun 1, 2009 11:01 am -0500

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Version History

Version: 1.4 Jun 1, 2009 11:01 am -0500 by Connexions
Changes:
Removed link from summary.

Version: 1.3 May 27, 2009 2:14 am -0500 by LearningMate LearningMate
Changes:
Final Publish.

Version: 1.2 Apr 28, 2009 3:33 am -0500 by LearningMate LearningMate
Changes:
Dynamic Links added

Version: 1.1 Apr 16, 2009 9:18 am -0500 by LearningMate LearningMate
Changes:
First Publish.

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American Chemical Society (ACS) Style Guide:

Ellis, W.; Burzynski, D. Graphing Linear Equations and Inequalities: Finding the Equation of a Line, OpenStax-CNX Web site. http://cnx.org/content/m21998/1.4/, Jun 1, 2009.

American Medical Assocation (AMA) Manual of Style:

Ellis W, Burzynski D. Graphing Linear Equations and Inequalities: Finding the Equation of a Line [OpenStax-CNX Web site]. June 1, 2009. Available at: http://cnx.org/content/m21998/1.4/.

American Psychological Assocation (APA) Publication Manual:

Ellis, W., & Burzynski, D. (2009, June 1). Graphing Linear Equations and Inequalities: Finding the Equation of a Line. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m21998/1.4/

Chicago Manual of Style (Bibliography):

Ellis, Wade, and Denny Burzynski. "Graphing Linear Equations and Inequalities: Finding the Equation of a Line." OpenStax-CNX. June 1, 2009. http://cnx.org/content/m21998/1.4/.

Chicago Manual of Style (Note):

Wade Ellis and Denny Burzynski, "Graphing Linear Equations and Inequalities: Finding the Equation of a Line," OpenStax-CNX, June 1, 2009, http://cnx.org/content/m21998/1.4/.

Chicago Manual of Style (Reference, in Author-Date style):

Ellis, W., & Burzynski, D. 2009. Graphing Linear Equations and Inequalities: Finding the Equation of a Line. OpenStax-CNX, June 1, 2009. http://cnx.org/content/m21998/1.4/.

Modern Languages Association (MLA) Style Manual:

Ellis, Wade, and Denny Burzynski. Graphing Linear Equations and Inequalities: Finding the Equation of a Line. OpenStax-CNX. 1 June 2009 <http://cnx.org/content/m21998/1.4/>.