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About: Graphing Linear Equations and Inequalities: Graphing Linear Equations in Two Variables

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

 Name: Graphing Linear Equations and Inequalities: Graphing Linear Equations in Two Variables ID: m21995 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 relate solutions to a linear equation to lines, know the general form of a linear equation, be able to construct the graph of a line using the intercept method, be able to distinguish, by their equations, slanted, horizontal, and vertical lines. Subject: Mathematics and Statistics Keywords: algebra, elementary, intercept method, lines License: Creative Commons Attribution License CC-BY 3.0 Authors: Copyright Holders: Maintainers: Latest version: 1.4 (history) First publication date: Mar 4, 2009 2:55 am +0000 Last revision to module: Jun 1, 2009 11:05 am +0000

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Version History

 Version: 1.4 Jun 1, 2009 11:05 am +0000 by Changes: `Removed link from summary.` Version: 1.3 May 27, 2009 2:12 am +0000 by Changes: `Final Publish.` Version: 1.2 Apr 28, 2009 3:31 am +0000 by Changes: `Dynamic Links added` Version: 1.1 Apr 16, 2009 9:01 am +0000 by Changes: `First Publish.`

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American Chemical Society (ACS) Style Guide:

Ellis, W.; Burzynski, D. Graphing Linear Equations and Inequalities: Graphing Linear Equations in Two Variables, OpenStax-CNX Web site. http://cnx.org/content/m21995/1.4/, Jun 1, 2009.

American Medical Assocation (AMA) Manual of Style:

Ellis W, Burzynski D. Graphing Linear Equations and Inequalities: Graphing Linear Equations in Two Variables [OpenStax-CNX Web site]. June 1, 2009. Available at: http://cnx.org/content/m21995/1.4/.

American Psychological Assocation (APA) Publication Manual:

Ellis, W., & Burzynski, D. (2009, June 1). Graphing Linear Equations and Inequalities: Graphing Linear Equations in Two Variables. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m21995/1.4/

Chicago Manual of Style (Bibliography):

Ellis, Wade, and Denny Burzynski. "Graphing Linear Equations and Inequalities: Graphing Linear Equations in Two Variables." OpenStax-CNX. June 1, 2009. http://cnx.org/content/m21995/1.4/.

Chicago Manual of Style (Note):

Wade Ellis and Denny Burzynski, "Graphing Linear Equations and Inequalities: Graphing Linear Equations in Two Variables," OpenStax-CNX, June 1, 2009, http://cnx.org/content/m21995/1.4/.

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

Ellis, W., & Burzynski, D. 2009. Graphing Linear Equations and Inequalities: Graphing Linear Equations in Two Variables. OpenStax-CNX, June 1, 2009. http://cnx.org/content/m21995/1.4/.

Modern Languages Association (MLA) Style Manual:

Ellis, Wade, and Denny Burzynski. Graphing Linear Equations and Inequalities: Graphing Linear Equations in Two Variables. OpenStax-CNX. 1 June 2009 <http://cnx.org/content/m21995/1.4/>.