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Chapter 4: Name That Line

Difficulty Level: Advanced Created by: CK-12

Introduction

In this chapter you learn about relations defined by y=mx+b. You will learn how to rewrite an equation given in the form Ax+By+C=0 in the form y=mx+b. You will learn to graph y=mx+b by using the point-slope method as well as how to write the equation of a line from the graph by determining the slope and the yintercept.

To write the equation of a line, you must know the slope and the yintercept of the line. In this chapter you will learn how to calculate the slope of a line from two given points on the line, from a given equation, from a point on the line and the yintercept and from the relationship between special lines. In addition, you will learn how to determine the yintercept of a line algebraically.

When these basic concepts have been mastered, you will learn how to determine the equation of lines that are parallel and perpendicular to the x and y axis or to other lines.

Finally, all of the concepts will be applied to problems that use linear functions as a model.

Lessons

In this chapter you will do the following lessons:

  • The Slope of a Line from a Graph or from Two Points
  • The Equation of a Line in Slope-Intercept Form
  • Graphing the Linear Functions y=mx+b; y=a; x=a
  • Determining the Equation of a line from the Graph
  • Parallel and Perpendicular Lines
  • Linear Function as a Model

Chapter Outline

Chapter Summary

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Difficulty Level:
Advanced
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Date Created:
Aug 20, 2013
Last Modified:
Jan 14, 2016
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