Determine the rise, run, and slope of the given graph.

(1 point)
Rise from (-5,0) to (0,4) =

Run from (-5,0) to (0,4) =

Slope is equal to the riserun
=
(Enter your response as a fraction in simplest form.)

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1 answer

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)