Graphing solutions to two-variable linear equations

The  exercise appears under the 8th grade (U.S.) Math Mission, Algebra basics Math Mission, and Algebra I Math Mission. This exercise practices making T-tables and relating them to the graphs of lines.

Types of Problems
There are two types of problems in this exercise:


 * 1) Fill in table and place points on line: This problem provides a linear equation and a T-table, along with a graph with a line. The student is expected to fill in the table and then place the points on the line in the graph.Gsttvle1.png
 * 2) Fill in table and use points to graph the line: This problem provides a linear equation and a T-table, along with a blank graph. The student is expected to fill in the table then graph the line on the coordinate plane.Gsttvle2.png

Strategies
Knowledge of substitution, arithmetic and graphing points are encouraged to ensure success on this exercise.
 * 1) On the first problem type, the points will lie on the line.
 * 2) On the first problem type, the graph can be used to find the values from the table in reverse to increase efficiency.
 * 3) Research indicates all numbers end up being integers on this exercise.

Real-life Applications

 * 1) The techniques in this exercise are useful for making T-tables, which can create lines or check if lines are made correctly for data.