Prentice Hall Algebra 2

2-3 Linear Functions and Slope-Intercept Form

Objectives

To graph linear equations

To write equations of lines

A solve it problem with Tyler.
Image Long Description

You can describe movement in a coordinate plane by describing how far you need to move vertically and how far you need to move horizontally to get from one point to another point.

Essential Understanding Consider a nonvertical line in the coordinate plane. If you move from any point on the line to any other point on the line, the ratio of the vertical change to the horizontal change is constant. That constant ratio is the slope of the line.

The slope of a nonvertical line is the ratio of the vertical change to the horizontal change between two points. You can calculate slope by finding the ratio of the difference in the y-coordinates to the difference in the x-coordinates for any two points on the line.

A line rises through (x subscript 1 baseline, y subscript 1 baseline) and (x subscript 2 baseline, y subscript 2 baseline). The distance between the two points is the ratio of vertical change and horizontal change of the line.


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Table of Contents

Prentice Hall Algebra 2 Chapter 1 Expressions, Equations, and Inequalities Chapter 2 Functions, Equations, and Graphs Chapter 3 Linear Systems Chapter 4 Quadratic Functions and Equations Chapter 5 Polynomials and Polynomial Functions Chapter 6 Radical Functions and Rational Exponents Chapter 7 Exponential and Logarithmic Functions Chapter 8 Rational Functions Chapter 9 Sequences and Series Chapter 10 Quadratic Relations and Conic Sections Chapter 11 Probability and Statistics Chapter 12 Matrices Chapter 13 Periodic Functions and Trigonometry Chapter 14 Trigonometric Identities and Equations Skills Handbook English/Spanish Illustrated Glossary Selected Answers Index Acknowledgments