# Ch 17: Coordinate Geometry: Graphing Linear Equations & Inequalities

### About This Chapter

## Coordinate Geometry: Graphing Linear Equations & Inequalities - Chapter Summary

Do you need to know how to find and apply the slope and intercepts of a line? You've come to the right place. You can also learn all about the various traits of functions in this chapter. These lessons also explain how to graph inequalities, find the equation of a line and perform transformations. You can learn all about the distance and midpoint formulas and put them into practice. This chapter offers instruction for all of the concepts below:

- Linear & non-linear, increasing & decreasing and positive & negative functions
- Intercepts, standard form and graphing linear equations
- Slope and intercepts of lines
- Undefined and zero slope in graphing
- 1- and 2-variable inequalities
- Point-slope formulas
- Absolute value, dilations and reflections

Knowledgeable professionals present these lessons, making them interesting and fun. The lessons include video presentations, text transcripts and short, multiple-choice quizzes that can help you get familiar with the types of questions you'll see on the test. You can review the lessons as many times as needed, and click on the handy video tags to easily go back and target specific portions of the lessons.

### Coordinate Geometry: Graphing Linear Equations & Inequalities Objectives

While not required by all schools, the SAT Subject Tests are a good way to highlight your mastery of a particular subject area. If you're considering the Math 2 subject test, this chapter can help you prepare for the geometry and measurement content area of the test, which represents 28%-32% of the entire test. This subject test has 50 multiple-choice questions, and you'll need to be familiar with numbers and math operations, algebra, functions, data analysis and probability in addition to geometry and measurement.

### 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.

### 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.

### 3. 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.

### 4. 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.

### 5. 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!

### 6. 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!

### 7. 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.

### 8. 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.

### 9. How to Graph an Absolute Value and Do Transformations

Absolute value graphs normally look like the letter 'V', but transformations can change that 'V' in a number of different ways. As well as teaching you how to graph absolute values, this video will focus on a specific group of transformations called translations. Learn all about what that means here!

### 10. Graphing Absolute Value Equations: Dilations & Reflections

Although a basic absolute value graph isn't complicated, transformations can make them sufficiently confusing! In this lesson, you'll practice different transformations of absolute value graphs.

### 11. 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!

### 12. 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.

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### Other Chapters

Other chapters within the SAT Subject Test Mathematics Level 2: Practice and Study Guide course

- Structure & Strategies for the SAT Math Level 2
- Basic Math Review
- Square Roots
- Basic Algebraic Expressions
- Exponents
- Vectors
- Algebraic Linear Equations & Inequalities
- Algebra: Absolute Value Equations & Inequalities
- Algebra: Polynomials
- Functions in Math
- Algebra: Rational Expressions
- Matrices
- Understanding Sequences & Series
- Understanding Exponentials & Logarithms
- Complex and Imaginary Numbers
- Coordinate Geometry Basics
- Advanced Coordinate Geometry
- Three-Dimensional Geometry
- Overview of Trigonometry
- Probability, Combinations & Permutations
- Working with Data & Statistics
- Basic Mathematical Logic
- Limits of Functions
- SAT Subject Test Mathematics Level 2 Flashcards