To find the slope of the proportional relationship shown in the table, we can use the formula for slope, which is given by:
\[ \text{slope} = \frac{\text{change in } y}{\text{change in } x} \]
From the table, we can see that:
- When \(x\) changes from \(0\) to \(2\), \(y\) changes from \(0\) to \(10\).
- The change in \(y\) is \(10 - 0 = 10\).
- The change in \(x\) is \(2 - 0 = 2\).
Now, we can calculate the slope:
\[ \text{slope} = \frac{10}{2} = 5 \]
Thus, the slope of the proportional relationship is 5.
The correct response is:
The slope is 5.