# Ch 4: Big Ideas Math Algebra 1 - Chapter 4: Writing Linear Functions

### About This Chapter

## How It Works:

- Identify the lessons in the Big Ideas Math Writing Linear Functions chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the topics on writing linear functions that 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:

- Slope intercept form
- Point-slope form
- How to write linear equations
- How to solve problems with linear equations
- Different kinds of correlation
- The definition for line of best fit
- The process for analyzing residuals
- Differences between correlation and causation
- Formulas for arithmetic sequences
- What piecewise functions are
- How piecewise functions are graphed
- What step functions are

*Big Ideas Math is a registered trademark of Larson Texts, Inc., which is not affiliated with Study.com.*

### 1. What is Slope Intercept Form? - Definition, Equation & Examples

The slope-intercept form is one of several ways you can write the equation of a line. In this lesson, you will learn about the definition and equation of the slope-intercept form and work through some real-world examples.

### 2. Point-Slope Form: Definition & Overview

A linear equation is an algebraic equation that, when graphed, creates a straight line. The point-slope form is one way to write a linear equation. This lesson will teach you how to write a linear equation in point-slope form and give you some examples.

### 3. 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.

### 4. 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.

### 5. Problem solving using Linear Equations

From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.

### 6. Scatterplot and Correlation: Definition, Example & Analysis

A scatterplot is used to graphically represent the relationship between two variables. Explore the relationship between scatterplots and correlations, the different types of correlations, how to interpret scatterplots, and more.

### 7. Line of Best Fit: Definition, Equation & Examples

Linear graphs are a terrific way to see a trend when comparing any two factors. A line of best fit is the trendline that best fits the data set. In this lesson, we will see how the line of best fit helps to predict future events.

### 8. Analyzing Residuals: Process & Examples

Can you tell what's normal or independent and what's not? Sometimes, we need to figure this out in the world of statistics. This lesson shows you how as it explains residuals and regression assumptions in the context of linear regression analysis.

### 9. Correlation vs. Causation: Differences & Definition

When conducting experiments and analyzing data, many people often confuse the concepts of correlation and causation. In this lesson, you will learn the differences between the two and how to identify one over the other.

### 10. 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!

### 11. What are Piecewise Functions?

A piecewise function is a certain type of function that is made up of different parts. This lesson will define and describe piecewise functions and teach you how to identify them and how to write them.

### 12. How to Graph Piecewise Functions

Piecewise functions are specific functions that have more than one piece. There is a special trick to graphing these type of functions, which you will learn in this lesson.

### 13. Step Function: Definition, Equation & Examples

In this lesson, we'll learn what a step function is and become comfortable with this type of function. We'll examine common examples, such as the floor and ceiling functions and the heaviside function.

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### Other Chapters

Other chapters within the Big Ideas Math Algebra 1: Online Textbook Help course

- Big Ideas Math Algebra 1 - Chapter 1: Solving Linear Equations
- Big Ideas Math Algebra 1 - Chapter 2: Solving Linear Inequalities
- Big Ideas Math Algebra 1 - Chapter 3: Graphing Linear Functions
- Big Ideas Math Algebra 1 - Chapter 5: Solving Systems of Linear Equations
- Big Ideas Math Algebra 1 - Chapter 6: Exponential Functions & Sequences
- Big Ideas Math Algebra 1 - Chapter 7: Polynomial Equations & Factoring
- Big Ideas Math Algebra 1 - Chapter 8: Graphing Quadratic Functions
- Big Ideas Math Algebra 1 - Chapter 9: Solving Quadratic Equations
- Big Ideas Math Algebra 1 - Chapter 10: Radical Functions & Equations
- Big Ideas Math Algebra 1 - Chapter 11: Data Analysis & Displays