Ch 16: Coordinate Geometry - Graphing

About This Chapter

Review how to graph a mathematical equation to prepare for the SAT subject exam in mathematics. Video lessons and quizzes incorporate graphing coordinate geometry skills in a simple and clear manner.

SAT Mathematics: Coordinate Geometry - Graphing - Chapter Summary

Learn how to graph an equation using our easy-to-understand, user-friendly video lessons. Each lesson includes a practice quiz and links so you can locate specific parts in the video. Lessons in this chapter include:

  • What is a number nine?
  • The different parts of a graph
  • Plotting points on a coordinate plane
  • Graphing functions by plotting points
  • Identifying linear, increasing, decreasing, positive and negative functions
  • Linear equations: intercepts, standard form and graphing
  • Finding and applying the slope of a line
  • Finding and applying the intercepts of a line
  • Graphing undefined slope, zero slope and more
  • Graphing 1- and 2-variable inequalities
  • Graphing inequalities
  • Calculating the equation of a line using point-slope formula
  • Using the distance formula
  • Using the midpoint formula
  • Defining parabolas
  • Parabolas in standard, intercept and vertex form
  • Graphing cubics, quartics, quintics and more

Our video instructors show you step-by-step how to use these techniques to identify and graph functions. Use tools such as self-assessment quizzes to help you prepare for the SAT exam.

SAT Mathematics Objectives

The Level 1 SAT subject test in mathematics is designed for students who've completed three years of college-prep mathematics, including one year of geometry and two years of algebra. Students who are interested in pursuing STEM (science, technology, engineering, and mathematics) programs in college often use the math subject test to help their applications stand out.

In all, you'll answer about 50 multiple-choice questions. Geometry and measurement represent about 38%-42% of the total exam, with coordinate geometry making up approximately 8%-12% of the exam. Plane Euclidean geometry, 3-dimensional geometry, and trigonometry make up the other parts of the geometry portion.

17 Lessons in Chapter 16: Coordinate Geometry - Graphing
Test your knowledge with a 30-question chapter practice test
What Is a Number Line?

1. What Is a Number Line?

A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.

What Are the Different Parts of a Graph?

2. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

Plotting Points on the Coordinate Plane

3. 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.

Graph Functions by Plotting Points

4. Graph Functions by Plotting Points

Let's say you have a function. What does it look like? How do you graph it? In this lesson, we'll learn how to graph functions by determining and plotting points.

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

5. 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

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.

How to Find and Apply The Slope of a Line

7. 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.

How to Find and Apply the Intercepts of a Line

8. How to Find and Apply the Intercepts of a Line

How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.

Graphing Undefined Slope, Zero Slope and More

9. 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!

How to Graph 1- and 2-Variable Inequalities

10. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

Graphing Inequalities: Practice Problems

11. Graphing Inequalities: Practice Problems

If you're already pretty familiar with what inequalities are and just looking for a place to practice your skills, this is the place. This lesson covers topics like 1-variable, 2-variable, compound, and systems of inequalities.

Equation of a Line Using Point-Slope Formula

12. 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.

How to Use The Distance Formula

13. How to Use The Distance Formula

You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!

How to Use The Midpoint Formula

14. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

What is a Parabola?

15. What is a Parabola?

A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.

Parabolas in Standard, Intercept, and Vertex Form

16. Parabolas in Standard, Intercept, and Vertex Form

By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

How to Graph Cubics, Quartics, Quintics and Beyond

17. How to Graph Cubics, Quartics, Quintics and Beyond

Finding the graph of a polynomial isn't too hard. If you can graph, you already know the major steps! With a couple rules and helpful memorizing tools, you will be graphing polynomials in no time!

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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