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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.