# Ch 26: GRE Quantitative Reasoning: Coordinate Geometry

### About This Chapter

## GRE Quantitative Reasoning: Coordinate Geometry - Chapter Summary

Improve your understanding of coordinate geometry with our GRE practice lessons. These video tutorials teach you the principles of coordinate geometry you'll use to successfully tackle the quantitative portion of the GRE. Lectures cover the following topics:

- Types of lines
- Point-slope formula
- Tangents
- Undefined slope
- The distance formula
- The midpoint formula
- Graph components
- Transformations

This chapter's tutorials incorporate instruction in geometric elements, along with problem examples and quizzes that help test your comprehension of the content. Lessons are divided into concise video lectures to support your grasp of the material and help you succeed on the GRE.

### GRE Quantitative Reasoning Objectives

Formulated to test students' preparedness to pursue business or graduate school, the GRE contains a quantitative reasoning section that comprises a little more than 30% of the exam. Our coordinate geometry lessons encapsulate information used in GRE test questions. Specific objectives of these tutorials include:

- Identifying different kinds of lines
- Utilizing point-slope formula
- Graphing slopes and tangents
- Understanding undefined and zero slope
- Employing the distance formula
- Understanding the midpoint formula
- Knowing the parts of a graph
- Working with transformations

The GRE's quantitative section includes numeric-entry questions and different kinds of multiple-choice questions. For the numeric-entry questions, you will discern a numeric solution and enter it into a response box. For one type of multiple-choice problem, you will be asked a question that may have more than one right answer or a single correct response; for the other type, you will be offered two quantities and asked to choose which multiple-choice answer accurately indicates how the values compare to each other.

### 1. Parallel, Perpendicular and Transverse Lines

What are the different types of lines? Where are they visible in the real world and how can you recognize them? Find out here and test your knowledge with a quiz.

### 2. 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.

### 3. Slopes and Tangents on a Graph

Hit the slopes and learn how the steepness of a line is calculated. Calculate the slopes between points and draw the tangents of curves on graphs in this lesson.

### 4. 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!

### 5. 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!

### 6. 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.

### 7. 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.

### 8. Transformations: How to Shift Graphs on a Plane

What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!

### 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.

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### Other Chapters

Other chapters within the GRE Test: Practice & Study Guide course

- GRE: About the Test
- GRE Verbal Reasoning: About the Verbal Reasoning Section
- GRE Verbal Reasoning: Reading Skills
- GRE Verbal Reasoning: Vocabulary Skills
- GRE Analytical Writing: About the Analytical Writing Measure
- GRE Analytical Writing: Crafting Your Argument
- GRE Analytical Writing: Planning Your Essay
- GRE Analytical Writing: Starting Your Essay
- GRE Analytical Writing: Writing the Essay Body
- GRE Analytical Writing: Editing Your Essay
- GRE Analytical Writing: Writing Technique
- GRE Analytical Writing: Writing Stronger Sentences
- GRE Analytical Writing: Grammar and Usage
- GRE Quantitative Reasoning: About the Quantitative Reasoning Section
- GRE Quantitative Reasoning: Numbers and Operations
- GRE Quantitative Reasoning: Fractions, Decimals & Mixed Numbers
- GRE Quantitative Reasoning: Sequences and Series
- GRE Quantitative Reasoning: Equations and Expressions
- GRE Quantitative Reasoning: Factoring with FOIL, Graphing Parabolas and Solving Quadratics
- GRE Quantitative Reasoning: Exponents & Roots
- GRE Quantitative Reasoning: Functions
- GRE Quantitative Reasoning: Rational Equations and Expressions
- GRE Quantitative Reasoning: Inequalities
- GRE Quantitative Reasoning: Practical Applications
- GRE Quantitative Reasoning: Plane Geometry
- GRE Quantitative Reasoning: Probability and Statistics
- GRE Quantitative Reasoning: Interpreting Statistical Data
- GRE Quantitative Reasoning: Sets
- GRE Flashcards
- GRE Test Flashcards