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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

 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: Copyright Holders: Maintainers: 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 Changes: `Removed link from summary.` Version: 1.3 May 27, 2009 2:14 am -0500 by Changes: `Final Publish.` Version: 1.2 Apr 28, 2009 3:33 am -0500 by Changes: `Dynamic Links added` Version: 1.1 Apr 16, 2009 9:18 am -0500 by Changes: `First Publish.`

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## How to Cite and Attribute This Content

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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/>.