# Ch 4: Saxon Algebra 1: Graphs on the Coordinate Plane

### About This Chapter

## How It Works:

- Identify the lessons in the Saxon Graphs on the Coordinate Plane chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the coordinate plane graphing 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:

- Coordinate plane point plotting
- Types of linear equations and how to graph them
- Systems of equations
- How to graph and calculate the slope of a line
- Y-intercepts
- Horizontal, vertical and parallel lines
- How to graph circles and ellipses
- Hyperbola and parabola

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

### 1. Plotting Points on the Coordinate Plane

If you'll be working with a graph, otherwise known as the coordinate plane, it's essential to understand how it works. This includes learning the parts of a graph, identifying points and plotting points.

### 2. How to Graph Linear Equations by Substitution

Linear equation graphs are always straight lines, so substitution can be an easy way to draw the graph. In this lesson, we'll explore how to find and use the points you need, so graphing linear equations can be easy!

### 3. 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.

### 4. 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.

### 5. 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.

### 6. Y-Intercept: Definition & Overview

In this lesson, you will learn about the y-intercept, a particular point (or several points) on a graph where the line or curve touches or crosses the y-axis.

### 7. What are Horizontal Lines? - Definition & Equations

In this lesson, we will learn about horizontal lines. What properties are unique to horizontal lines? How do you recognize the graph or equation of a horizontal line? These questions will be investigated here.

### 8. Vertical Line: Equation & Slope

In this lesson, we will study a vertical line and find the equation in which to represent it. We will explore the slope equation and use it to determine the slope of a vertical line.

### 9. Parallel Lines: How to Prove Lines Are Parallel

Watch this video lesson to learn how you can prove that two lines are parallel just by matching up pairs of angles. Learn which angles to pair up and what to look for.

### 10. Graphing Circles: Identifying the Formula, Center and Radius

Discover how to graph circles by finding key information like the center and radius. Identify circles by simply looking at the formula, and vice versa.

### 11. Defining and Graphing Ellipses in Algebra

Watch this video lesson to find out what makes ellipses so unique. Learn what kind of shape an ellipse is, how you can create one yourself and how you can graph an ellipse by just looking at the numbers in the equation.

### 12. The Hyperbola: Definition, Vertices, Foci & Graphing

In this video lesson, we'll learn what a hyperbola is and how to graph one using the standard equation to find the center point, vertices and focus points.

### 13. The Parabola: Definition & Graphing

Watch this video lesson to learn what a parabola is and how you can graph it. Find out how to extract useful information from the standard form equation of a parabola to help you graph it.

### 14. How to Graph Consistent, Inconsistent & Dependent Linear Equations

When two linear equations are graphed on the x,y coordinate grid, you have three possible results. The two equations can be consistent, inconsistent, or dependent. This lesson explains how to graph these equations and what the graphs mean.

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### Other Chapters

Other chapters within the Saxon Algebra 1 Homeschool: Online Textbook Help course

- Saxon Algebra 1: Operations With Whole Numbers
- Saxon Algebra 1: Fractions
- Saxon Algebra 1: Decimal Numbers
- Saxon Algebra 1: Sets
- Saxon Algebra 1: Real Numbers
- Saxon Algebra 1: Number Theory
- Saxon Algebra 1: Properties of Real Numbers
- Saxon Algebra 1: Conversion by Unit Multipliers
- Saxon Algebra 1: Ratio, Rate & Proportion
- Saxon Algebra 1: Percent
- Saxon Algebra 1: Exponents
- Saxon Algebra 1: Roots
- Saxon Algebra 1: Probability
- Saxon Algebra 1: Statistics
- Saxon Algebra 1: Simplifying Expressions
- Saxon Algebra 1: Polynomials
- Saxon Algebra 1: Simplifying Rational Expressions
- Saxon Algebra 1: Simplifying and Solving Equations
- Saxon Algebra 1: Linear Equations
- Saxon Algebra 1: Quadratic Equations
- Saxon Algebra 1: Other Types of Equations
- Saxon Algebra 1: Understanding Functions
- Saxon Algebra 1: Lines, Points, Segments, and Planes
- Saxon Algebra 1: Angles
- Saxon Algebra 1: Polygons
- Saxon Algebra 1: Circles
- Saxon Algebra 1: Triangles
- Saxon Algebra 1: Geometric Solids
- Saxon Algebra 1: Perimeter and Circumference
- Saxon Algebra 1: Area
- Saxon Algebra 1: Surface Area and Volume
- Saxon Algebra 1: Pythagorean Theorem