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Graphing Equations of Lines using the Table Method The table method is a method of choosing five points (coordinates) that make an equation true. Those five coordinates are then plotted on the coordinate plane and then connected to form a line. A table of values is a vertical table that lists the x-values in the left column and the y-values in the right column. Example: x-values y-values How to use the Table Method Step 1: Given the coordinate plane, create a table of values and choose five values for x. Step 2: Substitute each value that you chose for x into the given equation and find the corresponding y-value. This means that you will plug in a value for x, and solve for the value of y. Step 3: Plot the five coordinates on the coordinate plane and connect the coordinates. Example 1: 2𝑥 + 𝑦 = −2 x-values -2 -1 0 1 2 y-values 2 0 -2 -4 -6 Example 2: 6𝑥 − 5𝑦 = −25 x-values y-values -4 1 = 0.2 5 -3 7 = 1.4 5 -2 13 = 2.6 5 -1 19 = 3.8 5 0 5 Example 3: 𝑦 = 6 x-values -2 -1 0 1 2 y-values 6 6 6 6 6 This example shows a horizontal line. When given a horizontal line, the y-value will always be the same. The equation that is given to you will tell you what that value is. The x-value is any value you choose. With this equation, you do not have to substitute any values. Example 4: 𝑥 = −1 x-values -1 -1 -1 -1 -1 y-values 1 2 3 4 5 This example shows a vertical line. When given a vertical line, the x-value will always be the same. The equation that is given to you will tell you what that value is. The y-value is any value you choose. With this equation, you do not have to substitute any values.