5-3 Slope-Intercept Form
Objectives
To write linear equations using slope-intercept form
To graph linear equations in slope-intercept form
Dynamic Activity
Slope-Intercept Form of a Line
The function in the Solve It is a linear function, but it is not a direct variation. Direct variations are only part of the family of linear functions.
Lesson Vocabulary
- parent function
- linear parent function
- linear equation
- y-intercept
- slope-intercept form
A family of functions is a group of functions with common characteristics. A parent function is the simplest function with these characteristics. The linear parent function is y = x or f (x) = x. The graphs of three linear functions are shown below.
A linear equation is an equation that models a linear function. In a linear equation, the variables cannot be raised to a power other than 1. So y = 2x is a linear equation, but
Graphs of linear functions may cross the y-axis at any point. A y-intercept of a graph is the y-coordinate of a point where the graph crosses the y-axis.
Essential Understanding You can use the slope and y-intercept of a line to write and graph an equation of the line.
Take Note Key Concept: Slope-Intercept Form of a Linear Equation
The slope-intercept form of a linear equation of a nonvertical line is
Table of Contents
- 2-1 and 2-2 Solving One- and Two-Step Equations
- 2-3 Solving Multi-Step Equations
- 2-4 Solving Equations With Variables on Both Sides
- 2-5 Literal Equations and Formulas
- 2-6 Ratios, Rates, and Conversions
- 2-7 and 2-8 Solving Proportions and Using Similar Figures
- 2-9 Percents
- 2-10 Change Expressed as a Percent
- 3-1 Inequalities and Their Graphs
- 3-2 Solving Inequalities Using Addition or Subtraction
- 3-3 Solving Inequalities Using Multiplication or Division
- 3-4 Solving Multi-Step Inequalities
- 3-5 Working With Sets
- 3-6 Compound Inequalities
- 3-7 Absolute Value Equations and Inequalities
- 3-8 Unions and Intersections of Sets
- Chapter 1 Foundations for Algebra
- Chapter 2 Solving Equations
- Chapter 3 Solving Inequalities
- Chapter 4 An Introduction to Functions
- Chapter 5 Linear Functions
- Chapter 6 Systems of Equations and Inequalities
- Chapter 7 Exponents and Exponential Functions
- Chapter 8 Polynomials and Factoring
- Chapter 9 Quadratic Functions and Equations
- Chapter 10 Radical Expressions and Equations
- Chapter 11 Rational Expressions and Functions
- Chapter 12 Data Analysis and Probability