About This Chapter
What is a linear equation? Do you know what slope is? How about slope-intercept form? Are you familiar with y-intercept? If you are baffled by these terms (or just slightly unsure of them), then you need to watch our video lessons that will straighten you out and teach you all about linear equations, including what all these terms mean. You'll even learn a few other terms to help you out when working with linear equations.
You need to know more than just the definition of a linear equation - you also need to know how to write one. Let our lessons help you out. Learn how to write a linear equation when you are given various information. Also, get familiar with the terms 'parallel' and 'perpendicular' as they relate to linear equations.
Still, there is more to know about linear equations, and we won't leave you hanging. Our lessons will cover how to graph a linear equation that is not in slope-intercept form. Also, find out how to do more abstract algebraic equations. Discover how to graph an undefined slope, zero slope and more.
Are you aching for more knowledge? You'll want to watch our lessons that cover system of equations. Find out what it is, how to graph it and how to use it. Find out how to change a story into an equation so you can solve it. Also, become familiar with terms that include intersection point and substitution method.
Go get started now! There's so much to learn. Thanks for watching!
1. What is a Linear Equation?
Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.
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. Abstract Algebraic Examples and Going from a Graph to a Rule
Just because you now know what a linear equation is doesn't mean that you are a master! This video will help you learn how to apply your knowledge of linear equations in more abstract algebraic ways.
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 Write a Linear Equation
Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.
6. 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.
7. How Do I Use a System of Equations?
There are a few classic algebra word problems, such as the one about two trains traveling at different speeds. In this lesson, you'll learn how to take a word problem and convert it into the system of equations that will allow you to find the answer using either substitution or elimination.
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Other chapters within the Math 102: College Mathematics course
- Math Foundations
- Solving and Graphing Inequalities
- Graphing and Factoring Quadratic Equations
- Complex and Imaginary Numbers
- Properties of Exponents
- Properties of Polynomials
- Simplifying and Solving Rational Expressions
- Properties of Functions
- Logarithms and Exponential Equations
- Probability and Statistics
- Studying for Math 102