8. Slope
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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 create a table of values using the information from the exercise.
| Miles Traveled | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| Cost ($) | 2.5 | 3.5 | 4.5 | 5.5 |
To know if the data given in the table represents a proportional relationship, let's first plot the points as (x,y) coordinate pairs.
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 does not pass through the origin. Therefore, the cost is not proportional to the number of miles traveled.