- DU Library
- Library Guides
- Math Skills Overview Guide
- Introduction to Linear Equations

Menu

- Home
- Basic OperationsToggle Dropdown
- Order of Operations
- Math PropertiesToggle Dropdown
- Factors & MultiplesToggle Dropdown
- FractionsToggle Dropdown
- Decimals
- PercentsToggle Dropdown
- Ratios & ProportionsToggle Dropdown
- ExponentsToggle Dropdown
- Scientific Notation
- Averages
- Equation Basics
- PolynomialsToggle Dropdown
- Linear Equations
- Absolute Value
- Rational Expressions
- Roots & Radicals
- QuadraticToggle Dropdown
- FunctionsToggle Dropdown
- Algebraic Ratios & Proportions
- Equations & Inequalities
- LogarithmsToggle Dropdown
- Imaginary Numbers
- Sequences & Series
- Introduction to Matrices
- GeometryToggle Dropdown
- TrigonometryToggle Dropdown
- Math Documents
- Get Help From Sarah

**From Wolfram MathWorld:**

A linear equation is an algebraic equation of the form $$y = mx + b$$ involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Linear -- from Wolfram MathWorld

**Horizontal Line:** $$y = 3 \space ( or \space\space any\space\space number )$$ Lines that are horizontal have a slope of zero. They have "run", but no "rise". The rise/run formula for slope always yields zero since rise = 0.

**Vertical Line:** $$x = -2 \space ( or \space\space any\space\space number )$$ Lines that are vertical have no slope (it does not exist). They have "rise", but no "run". The rise/run formula for slope always has a zero denominator and is undefined.

$$y = 3x – 6$$ $$y - 2 = 3(x + 1)$$ $$y + 2x - 2 = 0$$ $$5x = 6$$ $$\frac{y}{2} = 3$$$$y = 2x+1$$

Watch a Khan Academy Video »

*Length: 2:24 *

Watch a Khan Academy Video »

*Length: 11:22 *

Watch a Khan Academy Video »

*Length: 9:50 *

Watch a Khan Academy Video »

*Length: 4:29 *

Watch a Khan Academy Video »

*Length: 3:58 *

Watch a Khan Academy Video »

*Length: 3:02 *

- Last Updated: Jun 10, 2024 6:43 PM
- URL: https://davenport.libguides.com/math-skills-overview
- Print Page