# Ch 8: Glencoe Pre-Algebra Chapter 8: Linear Functions and Graphing

### About This Chapter

## How It Works:

- Identify the lessons in the Glencoe Linear Functions and Graphing chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the functions and graphing linear equations topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

## Students will learn:

- Functions
- Mathematical sequences
- Standard form of linear equations and intercepts
- Positive, negative, constant and average rates of change
- Direct variation
- How zero and undefined slope look on graphs
- Slope-intercept form
- Writing a linear equation
- Linear regression and problem-solving
- Identifying and using a system of equations

*Glencoe is a registered trademark of McGraw-Hill Education, which is not affiliated with Study.com.*

### 1. Functions: Identification, Notation & Practice Problems

A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!

### 2. What is a Mathematical Sequence?

Math is often the most fun when it acts like a puzzle to be solved. The branch of math where this is the most true involves sequences. Get an introduction to the basics and important vocabulary, as well as learn where sequences appear in nature!

### 3. How to Find and Classify an Arithmetic Sequence

Arithmetic sequences are everywhere, and with a few tricks you learn here, you could end up looking like a psychic the next time you go to a movie or a football game!

### 4. What is a Linear Equation?

Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.

### 5. Solving Linear Equations: Practice Problems

With practice, linear equations can be straightforward to solve. In this lesson, we'll define linear equations and learn how to solve them. We'll look at multiple practice problems and walk through solving each one.

### 6. Linear Equations: Intercepts, Standard Form and Graphing

Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.

### 7. Rate of Change vs. Negative Rate of Change

A rate of change tells you how quickly a quantity is changing. In this lesson, learn about how rates of change are calculated and what it means for a rate of change to be negative.

### 8. Finding Constant and Average Rates

Watch this video lesson to learn the differences between constant and average rates. You will learn the steps you need to take to find them and get two great visuals you can keep in mind to help you solve these rate problems.

### 9. Solving Equations of Direct Variation

In the real world, we come across a lot of problems that vary directly with each other. You will learn how to solve these types of direct variation problems in this video lesson.

### 10. What is Slope? - Definition & Formulas

The slope is a measure of the steepness of a line, or a section of a line, connecting two points. In this lesson, you will use several different formulas for slope and learn how those formulas relate to the steepness of a line.

### 11. Graphing Undefined Slope, Zero Slope and More

There are two special cases when it comes to slopes on the xy plane: horizontal and vertical lines. Without any more information, these examples can be pretty confusing. But with a little instruction, they end up being some of the easiest lines to graph!

### 12. Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More

Being able to calculate the slope of a line is a very useful skill to have. Why? Watch this video lesson to find out and learn how to find the slope when working with various equations and various lines.

### 13. How to Write a Linear Equation

Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.

### 14. Simple Linear Regression: Definition, Formula & Examples

Simple linear regression is a great way to make observations and interpret data. In this lesson, you will learn to find the regression line of a set of data using a ruler and a graphing calculator.

### 15. Problem Solving Using Linear Regression: Steps & Examples

Linear regression can be a powerful tool for predicting and interpreting information. Learn to use two common formulas for linear regression in this lesson.

### 16. What is a System of Equations?

So what happens if we want to compare more than one equation? Welcome to a 'system' of equations! Learn what one is, how to solve them and when they come up in real life.

### 17. How Do I Use a System of Equations?

There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.

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### Other Chapters

Other chapters within the Glencoe Pre-Algebra: Online Textbook Help course

- Glencoe Pre-Algebra Chapter 1: The Tools of Algebra
- Glencoe Pre-Algebra Chapter 2: Operations with Integers
- Glencoe Pre-Algebra Chapter 3: Operations with Rational Numbers
- Glencoe Pre-Algebra Chapter 4: Expressions and Equations
- Glencoe Pre-Algebra Chapter 5: Multi-Step Equations and Inequalities
- Glencoe Pre-Algebra Chapter 6: Ratio, Proportion and Similar Figures
- Glencoe Pre-Algebra Chapter 7: Percent
- Glencoe Pre-Algebra Chapter 9: Powers and Nonlinear Equations
- Glencoe Pre-Algebra Chapter 10: Real Numbers and Right Triangles
- Glencoe Pre-Algebra Chapter 11: Distance and Angle
- Glencoe Pre-Algebra Chapter 12: Surface Area and Volume
- Glencoe Pre-Algebra Chapter 13: Statistics and Probability
- Glencoe Pre-Algebra Chapter 14: Looking Ahead to Algebra I