5. Graph Proportional Relationships
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Can you connect the points with one straight line that passes through the origin?
No, see solution.
Before we begin, let's take a look at the information given in the table of values.
| Savings Account | |
|---|---|
| Week | Account Balance ($) |
| 1 | 125 |
| 2 | 150 |
| 3 | 175 |
Next, we will connect the points we graphed and extend the line to the y-axis. Recall that the graph of a proportional relationship is a single, straight line in the coordinate plane that passes through the origin.
As we can see, the line is a straight line, but does not pass through the origin. Therefore, the relationship between the two quantities from the table is not proportional.