To determine the rise, run, and slope from the points \((-5, 0)\) to \((0, 4)\), we can follow these steps:
1. Calculating the Rise: The rise is the change in the \(y\)-coordinates between the two points.
\[ \text{Rise} = y_2 - y_1 = 4 - 0 = 4 \]
2. Calculating the Run: The run is the change in the \(x\)-coordinates between the two points.
\[ \text{Run} = x_2 - x_1 = 0 - (-5) = 0 + 5 = 5 \]
3. Calculating the Slope: The slope is calculated as the rise divided by the run.
\[ \text{Slope} = \frac{\text{Rise}}{\text{Run}} = \frac{4}{5} \]
Final Results:
- Rise from (-5, 0) to (0, 4) = \(4\)
- Run from (-5, 0) to (0, 4) = \(5\)
- Slope is equal to the rise over run = \(\frac{4}{5}\)
So, the answers are:
- Rise = 4
- Run = 5
- Slope = \(\frac{4}{5}\) (in simplest form)