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References: Graphing and Linear Functions

  1. Cartesian Coordinate System - Wikipedia - Explains the structure of the coordinate plane, including axes, origin, and quadrants, providing historical and mathematical background for the chapter's opening concepts on plotting points.

  2. Slope - Wikipedia - Covers the definition and calculation of slope as rise over run, its interpretation as rate of change, and special cases of zero and undefined slope directly relevant to this chapter.

  3. Linear Equation - Wikipedia - Describes the general theory of linear equations, including slope-intercept, point-slope, and standard forms, supporting the chapter's core content on writing and converting equation forms.

  4. Algebra 1, Common Core Edition, by Randall I. Charles et al., Prentice Hall/Pearson - A widely used high school textbook with dedicated chapters on graphing linear equations, slope, and writing equations in multiple forms, matching this chapter's scope closely.

  5. Big Ideas Math: Algebra 1, by Ron Larson and Laurie Boswell, Big Ideas Learning - A standards-aligned Algebra 1 textbook featuring extensive coverage of slope, rate of change, and the three major forms of linear equations with guided practice problems.

  6. Slope Review - Khan Academy - A review article covering slope-intercept form, how to identify slope and y-intercept from an equation, and how to graph a line from that form, reinforcing this chapter's key skill.

  7. Straight-Line Equations: Point-Slope Form - Purplemath - A step-by-step tutorial on point-slope form, showing how to build an equation from a slope and a point and convert it to slope-intercept form, matching the chapter's forms-of-equations section.

  8. Equation of a Line from 2 Points - Math Is Fun - A worked-example tutorial demonstrating how to calculate slope from two points and derive the line's equation, directly supporting the chapter's "given two points" method.

  9. Graph with Intercepts - OpenStax Elementary Algebra 2e - An open textbook section explaining how to find x- and y-intercepts algebraically and use them to graph linear equations, aligning with the chapter's intercepts and graphing methods.

  10. Slope of a Line: Definition, Types, Formulas, Examples - GeeksforGeeks - A reference article detailing the slope formula and the four slope types (positive, negative, zero, undefined), reinforcing the chapter's classification of slope behavior.