About This Chapter
Cambridge Pre-U Math Short Course: Coordinate Geometry - Chapter Summary
Strengthen your skills in geometry using the information presented in these video lessons. You will review the following material:
- Graphing in the Cartesian plane
- Midpoint, distance and slope of a line
- Linear equations and systems of linear equations
- Point-slope formula
- Perpendicular, parallel and transverse lines, and graphs of the lines in linear equations
- Systems of equations, and horizontal and vertical asymptotes
- Finding the equation of a circle
- Transformations and translations in math
These brightly-written and informative videos lead you from skill to skill in a logical, easy-to-follow progression. Presented by acknowledged experts in their fields, the lessons keep and hold your interest and enable you to study effectively. You have access to the instructors for additional information, questions or any help you may need, and our subject-matter experts are also available for consultation if you require further assistance.
1. The Cartesian Coordinate System: Plotting Points & Graphing Lines
Watch this video lesson to see how useful the Cartesian coordinate system is. Learn how points are labeled and how you can plot points and graph lines using the system.
2. 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.
3. 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!
4. 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.
5. 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.
6. 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.
7. 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.
8. Graphs of Parallel and Perpendicular Lines in Linear Equations
When we deal with linear equations, we sometimes come across equations that are parallel to each other or perpendicular to each other. You will see what they look like when graphed in this video lesson.
9. 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.
10. Horizontal and Vertical Asymptotes
No matter how hard you try to get to them, asymptotes remain out of reach. Learn about these invisible lines on graphs that show you places your equations just can't go.
11. How to Find the Equation of a Circle
There are two commonly used forms of equations for a circle, in this lesson we'll take a few minutes to examine and understand both forms, and be able to convert from one to the other.
12. Transformations in Math: Definition & Graph
In geometry, transformation refers to the movement of objects in the coordinate plane. This lesson will define and give examples of each of the four common transformations and end with a quiz to make sure you are moving in the right direction.
13. What is Translation in Math? - Definition, Examples, & Terms
In mathematics, translation refers to moving an object without changing it in any other way. This lesson will describe how to translate an object and give some examples. A quiz will follow to test your knowledge.
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Other chapters within the Cambridge Pre-U Mathematics - Short Course: Practice & Study Guide course
- Cambridge Pre-U Math Short Course: Quadratic Equations
- Cambridge Pre-U Math Short Course: Sequences & Series
- Cambridge Pre-U Math Short Course: Exponentials & Logarithms
- Cambridge Pre-U Math Short Course: Differentiation
- Cambridge Pre-U Math Short Course: Integration
- Cambridge Pre-U Math Short Course: Data Summarization
- Cambridge Pre-U Math Short Course: Correlation & Regression
- Cambridge Pre-U Math Short Course: Binomial Distribution
- Cambridge Pre-U Math Short Course: Normal Distribution
- Cambridge Pre-U Math Short Course: Sampling
- Cambridge Pre-U Math Short Course: Statistical Estimation
- Cambridge Pre-U Math Short Course: Hypothesis Testing
- Cambridge Pre-U Math Short Course: Chi-Square Test
- Cambridge Pre-U Math Short Course: Non-Parametric Tests
- Cambridge Pre-U Mathematics - Short Course Flashcards