### Overview of different forms of a line's equation

There are many different ways that you can express the equation of a line. There is the slope intercept form , point slope form and also this page's topic. Each one expresses the equation of a line, and each one has its own pros and cons. For instance, point slope form makes it easy to find the line's equation when you only know the slope and a single point on the line. Standard form also has some distinct uses, but more on that later.

### Definition of Standard form Equation

The Standard Form equation of a line has the following formula: $ Ax + By = C \\ A \ne 0 \\ b \ne 0 $

#### Example and Non Example Equations

Examples of Standard Form Equations | Non-Examples |

3x + 5y = 3 | 2y = 4x +2 |

2x − y =6 | x = 6 − y |

-2x + y = 7 | y = 2x + 7 |

#### When is standard form useful?

- When you want to graph the line
- When you want to know the y-intercept of the line
- When you want to know the x intercept
- Contrast this with slope intercept form --in this case, you have to do more work to find the x intercept.

#### When are other forms more useful?

- Slope intercept form and point slope make it easier to find the slope of your line. In standard form, you must do some work to get the slope.
- Point slope makes it easy to graph the line when you only know the line's slope and a single point or when you know 2 points on the line.

**Video** Tutorial

on Standard Form Equation of a Line