Linear equation

Revision as of 18:24, 2 December 2008 by Asterday1 (talk | contribs) (single-variable equations)

Linear equations are any algebraic equations where both sides of the equation are polynomials of the first degree.

single-variable equations

Single-variable linear equations can always be expressed in the form: $ax+b=0$

where $a$ and $b$ are constants and $x$ is the variable.

From this form, they can be solved with the following steps:

1. subtract $b$ from both sides.

2. divide $a$ from both sides.

two-variable equations

Two-variable linear equations can always be expressed in the form: $y=mx+b$

Where $y$ and $x$ are variables and $m$ and $b$ are constants.

Two-variable linear equations can be drawn as a straight line on a coordinate plane. $m$ can be defined as the slope and $b$ can be defined as the y-intercept