Question

what is the run?
\\(\frac{\text{rise}}{\text{run}} = \frac{8}{?}\\)
find the slope of the line.
slope = \\(\square\\)
(graph shows a line from (0,1) to (4,9), with rise = 8 and run = 4 marked)

Explanation:

Part 1: Find the run

Step1: Analyze the graph

From the graph, we can see the horizontal change (run) by looking at the x - axis. The line goes from \(x = 0\) to \(x=4\) (since the "run = 4" is labeled on the graph). Also, we know that the slope formula is \(\frac{\text{rise}}{\text{run}}\), and the rise is 8.

Step2: Determine the run

From the graph, the run (the horizontal distance) is 4. So in the fraction \(\frac{8}{\text{run}}\), the run is 4.

Part 2: Find the slope

Step1: Recall the slope formula

The slope \(m\) of a line is given by the formula \(m=\frac{\text{rise}}{\text{run}}\).

Step2: Substitute the values of rise and run

We know that the rise is 8 and the run is 4. So \(m = \frac{8}{4}\).

Step3: Simplify the fraction

\(\frac{8}{4}=2\).

Answer:

s:

• Run: \(\boldsymbol{4}\)
• Slope: \(\boldsymbol{2}\)