# Ch 8: Ohio EOCE Integrated Math II: Graphing Linear Equations & Inequalities

### About This Chapter

## Ohio EOCE Integrated Math II: Graphing Linear Equations & Inequalities - Chapter Summary

Use this Ohio EOCE Integrated Math II test prep chapter to study the process for graphing linear equations and inequalities. Expert instructors use an engaging format to help you review key concepts, including intercepts, standard form and graphing. You'll determine if a function is linear, positive or negative and increasing or decreasing. Additionally, this chapter demonstrates:

- How to find and apply the slope and intercepts of a line
- Graphing different types of slopes, 1- and 2-variable inequalities and absolute values
- Using point-slope, distance and midpoint formulas
- Dilations, reflections and transformations

Thoroughly review the steps in these lessons, then practice your graphing techniques by taking the quizzes at the end of each lesson. When you're ready, take the more comprehensive chapter exam to practice all concepts and memorize formulas. You can also print the quiz worksheets for hard-copy study material to continue studying offline. This program allows you to work at your own pace and provides access to instructors in case you have any questions on the material covered.

### 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 Ohio End of Course Exam - Integrated Math II: Test Prep & Practice course

- Ohio EOCE Integrated Math II: Basic Math Review
- Ohio EOCE Integrated Math II: Basic Algebraic Expressions
- Ohio EOCE Integrated Math II: Solving Word Problems
- Ohio EOCE Integrated Math II: Polynomials
- Ohio EOCE Integrated Math II: Solving Quadratic Equations
- Ohio EOCE Integrated Math II: Linear Equations & Inequalities
- Ohio EOCE Integrated Math II: Absolute Value Equations & Inequalities
- Ohio EOCE Integrated Math II: Functions in Math
- Ohio EOCE Integrated Math II: Graphing Functions
- Ohio EOCE Integrated Math II: Rational Expressions
- Ohio EOCE Integrated Math II: Matrices
- Ohio EOCE Integrated Math II: Sequences & Series
- Ohio EOCE Integrated Math II: Exponentials & Logarithms
- Ohio EOCE Integrated Math II: Complex Numbers
- Ohio EOCE Integrated Math II: Advanced Coordinate Geometry
- Ohio EOCE Integrated Math II: Three-Dimensional Geometry
- Ohio EOCE Integrated Math II: Overview of Trigonometry
- Ohio EOCE Integrated Math II: Calculating Probability & Permutations
- Ohio EOCE Integrated Math II: Working with Data & Statistics
- Ohio EOCE Integrated Math II: Calculating the Standard Deviation
- Ohio EOCE Integrated Math II: Logic in Mathematics
- Ohio EOCE Integrated Math II: Understanding Limits
- Ohio End of Course Exam - Integrated Math II Flashcards