Linear Equations in Two Variables

Start with equations and solutions

Begin with the mind map on linear equations in two variables that covers general form, rules and solutions, both graphically and algebraically. Use its branches to organize the ideas before moving to a quiz. Another mind map relates solutions to points on the line representing an equation, giving you a way to connect the algebra with a graph.

As you study, note the difference between an equation and a solution. Then look at how a solution can be represented on a line.

Move from forms to graphs

The mind map “Linear Equations and Graphs” includes slope-intercept, general and point-slope forms, as well as parallel and perpendicular lines. The “Graphing” mind map also brings together forms of linear equations, intercepts and tables.

After looking through a map, try “Graphing Linear Equations”. Its questions include selecting an equation for a graph, identifying an intercept and choosing a point that may be plotted. Return to the map when you need to check the relevant form or term.

Practice matching lines and equations

“Graphing a line” asks you to match lines and graphs with equations. Use it after you have reviewed how equations relate to graphs. For a broader check, “Linear equations in two variables summary” includes statements about lines parallel to an axis and equations in general form.

Use a quiz to identify an idea you want to look at again, then return to a mind map. For example, the map on equations for the axes and lines parallel to them can support a review of the summary quiz.

Place the topic in the unit

This page is one section of Linear Equations and Inequalities in Mathematics. The resources here give you several ways to study its linear-equations topic: read a map, work through graphing questions or use the listed flashcards and notes. Try a quiz, then make your own mind map to organize what you have studied.