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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 \begin{align*}y=mx+b\end{align*}y=mx+b. You will learn how to rewrite an equation given in the form \begin{align*}Ax +By+C=0\end{align*}Ax+By+C=0 in the form \begin{align*}y=mx+b\end{align*}y=mx+b. You will learn to graph \begin{align*}y=mx+b\end{align*}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 \begin{align*}y-\end{align*}yintercept.

To write the equation of a line, you must know the slope and the \begin{align*}y-\end{align*}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 \begin{align*}y-\end{align*}yintercept and from the relationship between special lines. In addition, you will learn how to determine the \begin{align*}y-\end{align*}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 \begin{align*}x\end{align*}x and \begin{align*}y\end{align*}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 \begin{align*}y=mx+b; \ y=a; \ x=a\end{align*}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:
Jan 16, 2013
Last Modified:
Apr 29, 2014
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CK.MAT.ENG.SE.1.Algebra-I---Honors.4