Objective: Graph linear equations by generating a table of ordered pairs.
A solution of a linear equation in two variables is an ordered pair that makes the equation true. To graph a linear equation means to draw, on the coordinate plane, a line which passes through all the solutions of the equation.
There are several methods of graphing linear equations on the coordinate plane. One method is to use the equation to generate a table of ordered pairs; this is most often done by selecting specific values for the x-coordinate and using the equation to calculate the corresponding y-coordinate for each value. When plotted on the coordinate plane, these points form a line that passes through all the solutions of the equation. Watch the video below.
If the equation to be graphed is given in the form Ax + By = C, it is often easier to solve the equation for y prior to generating a table and drawing the graph of the line. Watch the video below.
Complete the worksheet attachment below and then check your answers using the solutions attachment. Once you have completed these exercises, click the link to advance to the next lesson.