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Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
**Determining the Slope of a Hill Using a Graph**

**Problem Description:**
Jeff is going snowboarding this weekend and wants to determine the exact slope of the hill.

**Graph Explanation:**
The graph depicts a hill with a snowboarder on it. The graph is a coordinate plane with the x-axis and y-axis labeled from -6 to 6. A line is drawn from the point (-5, 1) to the point (2, -2). The snowboarder is positioned on this line, illustrating the hill's slope that Jeff must determine. 

**Multiple Choice Options:**
Below the graph, there are four options provided for the slope of the hill:
1. \(\frac{1}{2}\)
2. \( - \frac{1}{2}\)
3. \(\frac{2}{1}\)
4. \(\frac{5}{2}\)

**Educational Note:**
The slope of a line can be calculated using the formula: 
\[ \text{slope} = \frac{\text{rise}}{\text{run}} \]
By identifying the rise and run between two points on the line, one can calculate the slope. Using the given points (-5, 1) and (2, -2), determine the rise and run to find the slope.
Transcribed Image Text:**Determining the Slope of a Hill Using a Graph** **Problem Description:** Jeff is going snowboarding this weekend and wants to determine the exact slope of the hill. **Graph Explanation:** The graph depicts a hill with a snowboarder on it. The graph is a coordinate plane with the x-axis and y-axis labeled from -6 to 6. A line is drawn from the point (-5, 1) to the point (2, -2). The snowboarder is positioned on this line, illustrating the hill's slope that Jeff must determine. **Multiple Choice Options:** Below the graph, there are four options provided for the slope of the hill: 1. \(\frac{1}{2}\) 2. \( - \frac{1}{2}\) 3. \(\frac{2}{1}\) 4. \(\frac{5}{2}\) **Educational Note:** The slope of a line can be calculated using the formula: \[ \text{slope} = \frac{\text{rise}}{\text{run}} \] By identifying the rise and run between two points on the line, one can calculate the slope. Using the given points (-5, 1) and (2, -2), determine the rise and run to find the slope.
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