Questions: The slope of the line is undefined. Interpret the slope in terms of rise and run. Select the best choice below and, if necessary, fill in the answer box to complete your choice. (Type a positive number.) A. The graph rises unit(s) for each 2 unit(s) of run. B. The graph falls unit(s) for each 2 unit(s) of run. C. The rise always equals 0. D. The run always equals 0.

The slope of the line is undefined. Interpret the slope in terms of rise and run. Select the best choice below and, if necessary, fill in the answer box to complete your choice. (Type a positive number.) A. The graph rises unit(s) for each 2 unit(s) of run. B. The graph falls unit(s) for each 2 unit(s) of run. C. The rise always equals 0. D. The run always equals 0.
Transcript text: B. The slope of the line is undefined. Interpret the slope in terms of rise and run. Select the best choice below and, if necessary, fill in the answer box to complete your choice. (Type a positive number.) A. The graph rises $\square$ unit(s) for each 2 unit(s) of run. B. The graph falls $\square$ unit(s) for each 2 unit(s) of run. C. The rise always equals 0 . D. The run always equals 0 .
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Solution

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Solution Steps

Step 1: Identify the slope of the line

To determine the slope of the line, we need to find the rise over the run. The rise is the change in the y-values, and the run is the change in the x-values.

Step 2: Calculate the rise and run

From the graph, we can see that the line passes through the points (0, -6) and (10, 4). The rise is the difference in the y-values: 4 - (-6) = 10. The run is the difference in the x-values: 10 - 0 = 10.

Step 3: Determine the slope

The slope (m) is calculated as the rise divided by the run: \[ m = \frac{\text{rise}}{\text{run}} = \frac{10}{10} = 1 \]

Final Answer

The graph rises 1 unit for each 2 units of run. Therefore, the correct choice is: \[ \boxed{\text{A. The graph rises 1 unit(s) for each 2 unit(s) of run.}} \]

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