Chapter 8 – Graphs and Systems of Linear Equations
OBJECTIVES
- Identify the basic terminology of rectangular coordinate systems.
- Express linear equations in standard form and slope-intercept form.
- Determine the slope and y-intercept of a line from its equation.
- Graph a linear equation using the table of values, slope-intercept, and x- and y-intercepts.
- Determine the equation of a line from a graph.
- Determine the equations of parallel and perpendicular lines.
CHAPTER OUTLINE
8.1 Rectangular Coordinate System
8.2 Graphing Linear Equations
8 Review Exercises
8 Self-Test Exercises
8 Case Study – Lightning Wholesale
Introduction
A linear equation describes a relationship in which one variable’s value depends on another’s value. The solutions to a linear equation are ordered pairs of numbers in which each number replaces one of the variables in the equation. A straight-line graph on a two-dimensional coordinate axis system is an illustrative way to depict a linear equation with two variables.
Unless otherwise indicated, this chapter is an adaptation of the eTextbook Foundations of Mathematics (3rd ed.) by Thambyrajah Kugathasan, published by Vretta-Lyryx Inc., with permission. Adaptations include supplementing existing material and reordering chapters.
