Difference between revisions of "Linear equation"
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Linear equations are any algebraic equations where both sides of the equation are [[polynomials]] or [[monomials]] of the first [[degree]]. | Linear equations are any algebraic equations where both sides of the equation are [[polynomials]] or [[monomials]] of the first [[degree]]. | ||
| − | == | + | == Single-Variable Equations == |
Single-variable linear equations can '''always''' be expressed in the form: | Single-variable linear equations can '''always''' be expressed in the form: | ||
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2. divide <math>a</math> from both sides. | 2. divide <math>a</math> from both sides. | ||
| − | == | + | == Two-Variable Equations == |
Two-variable linear equations can '''always''' be expressed in the form: | Two-variable linear equations can '''always''' be expressed in the form: | ||
Revision as of 09:07, 4 December 2008
Linear equations are any algebraic equations where both sides of the equation are polynomials or monomials of the first degree.
Single-Variable Equations
Single-variable linear equations can always be expressed in the form:
where 
and 
are constants and 
is the variable.
From this form, they can be solved with the following steps:
1. subtract from both sides.
2. divide from both sides.
Two-Variable Equations
Two-variable linear equations can always be expressed in the form:
Where 
and are variables and 
and are constants.
Two-variable linear equations can be drawn as a straight line on a coordinate plane.
can be defined as the slope and can be defined as the y-intercept
