The standard form of a linear equation in two variables is Ax + By = C.
Understanding Standard Form
The standard form provides a structured way to represent linear relationships. Here's a breakdown:
- A, B, and C are constants (real numbers).
- x and y are variables.
- A and B cannot both be zero.
Example of Standard Form
As stated in the reference, 2x + 3y = 5 is a linear equation in standard form. In this example:
- A = 2
- B = 3
- C = 5
Why Use Standard Form?
While other forms of linear equations exist (like slope-intercept form), standard form can be useful for:
- Easily identifying coefficients.
- Solving systems of linear equations.
- Graphing using intercepts.
