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Ch 4: Chapter 4: Linear Functions

About This Chapter

The Linear Functions chapter of this Holt McDougal Algebra I Companion Course helps students learn the essential lessons associated with linear functions. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Linear Functions textbook chapter.

How It Works:

  • Identify the lessons in the Holt McDougal Linear Functions chapter with which you need help.
  • Find the corresponding video lessons within this companion course chapter.
  • Watch fun videos that cover the linear functions 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 about:

  • Identifying a linear function
  • Using the standard form of a linear equation
  • Calculating rate of change
  • Calculating and applying the slope of a line
  • Solving problems of direct variation
  • Using the point-slope or slope-intercept forms
  • Providing examples of simple linear regression
  • Interpreting the correlation coefficient
  • Graphing parallel and perpendicular lines
  • Shifting graphs on a plane

Holt McDougal is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.

11 Lessons in Chapter 4: Chapter 4: Linear Functions
Test your knowledge with a 30-question chapter practice test
Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative

1. Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative

Functions do all kinds of fun things. In this lesson, learn how to identify traits of functions such as linear or nonlinear, increasing or decreasing and positive or negative.

Linear Equations: Intercepts, Standard Form and Graphing

2. 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.

Slopes and Rate of Change

3. Slopes and Rate of Change

If you throw a ball straight up, there will be a point when it stops moving for an instant before coming back down. Consider this as we study the rate of change of human cannonballs in this lesson.

How to Find and Apply The Slope of a Line

4. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

Solving Equations of Direct Variation

5. 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.

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

6. 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.

Equation of a Line Using Point-Slope Formula

7. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

Simple Linear Regression: Definition, Formula & Examples

8. 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.

Interpreting the Correlation Coefficient

9. Interpreting the Correlation Coefficient

This lesson explains the process of interpreting and analyzing a correlation coefficient both as a figure and as a context by discussing common and easy to understand examples.

Graphs of Parallel and Perpendicular Lines in Linear Equations

10. Graphs of Parallel and Perpendicular Lines in Linear Equations

When we deal with linear equations, we sometimes come across equations that are parallel to each other or perpendicular to each other. You will see what they look like when graphed in this video lesson.

Transformations: How to Shift Graphs on a Plane

11. Transformations: How to Shift Graphs on a Plane

What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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