Linear Equation and Inequality in Two Variables

an ordered pair (x, y) that makes the inequality true

• piecewise defined function

• linear inequality

• solution to a linear inequality

• boundary line

• system of linear equations

a line that separates the coordinate lane into two regions

• piecewise defined function

• linear inequality

• solution to a linear inequality

• boundary line

• system of linear equations

two or more linear equations with the same variables

• piecewise defined function

• linear inequality

• solution to a linear inequality

• boundary line

• system of linear equations

A method to solve a system. One equation is solved for one of the variables then the expression for that variable is substituted into the other equation

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

A method to solve a system. Two equations are combined to eliminate one variable.

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

Lines that occupy the same location, pass through the same set of ordered pairs and intersect infinitely many times.

• substitution method

• elimination method

• coincident lines

• parallel lines

• slope intercept form

Systems that produce two distinct lines when graphed

• Independent System

• Dependent System

• Inconsistent Systems

• Consistent Systems

• Solution Region

Systems that have at least one solution when graphed

• Independent System

• Dependent System

• Inconsistent Systems

• Consistent Systems

• Solution Region

The part of the coordinate plane in which the ordered pairs are solutions to all inequalities in a system

• Independent System

• Dependent System

• Inconsistent Systems

• Consistent Systems

• Solution Region

y = mx + b

m = slope

b = y-intercept

• Slope Intercept Form

• Point-Slope Form

• Standard Form

• Equation for Slope