8. Slope
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Can you connect the points with one straight line that passes through the origin?
Yes, see solution.
Before we begin, let's take a look at the information given in the table of values.
| Tickets Purchased | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Cost ($) | 7.50 | 15 | 22.5 | 30 |
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 is a straight line and passes through the origin. Therefore, the relationship between the two quantities from the table is proportional.