## Linear Equations in One Variable

### Learning Objectives

In this section you will:

• Solve equations in one variable algebraically.
• Solve a rational equation.
• Find a linear equation.
• Given the equations of two lines, determine whether their graphs are parallel or perpendicular.
• Write the equation of a line parallel or perpendicular to a given line.

### Glossary

conditional equation
an equation that is true for some values of the variable
identity equation
an equation that is true for all values of the variable
inconsistent equation
an equation producing a false result
linear equation
an algebraic equation in which each term is either a constant or the product of a constant and the first power of a variable
solution set
the set of all solutions to an equation
slope
the change in y-values over the change in x-values
rational equation
an equation consisting of a fraction of polynomials