MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![**Finding the Slope of a Line Using a Graph**
To find the slope of the line shown in the graph, follow the steps below:
1. **Identify the Points**: Look at the graph to note the coordinates of two points the line passes through. In this graph, the points are approximately (-5, 6) and (5, -3).
2. **Calculate the Slope**:
- Use the slope formula:
\[\text{Slope} (m) = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}\]
Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
- Substitute the points into the formula:
\[m = \frac{-3 - 6}{5 - (-5)} = \frac{-3 - 6}{5 + 5} = \frac{-9}{10}\]
Therefore, the slope \(m\) of the line is \(\frac{-9}{10}\) or -0.9.
3. **Answer Choices**:
- **A. The slope is [ ]**: You will input \(-0.9\) into the answer box.
- **B. The slope is undefined**: This is not correct for this line as it has a calculable slope.
### Graph Description:
- The graph has labeled x and y axes with values spanning from -6 to 6.
- The line shown is descending from left to right, indicating a negative slope.
- The grid lines help in identifying the coordinates of the points the line intersects.
After entering the slope in the answer box, click "Check Answer." If needed, you can clear the answer input with "Clear All."
### Additional Tools:
There are options provided to input different types of mathematical symbols and functions using the buttons below the answer box.
**Interactive Features**: Users can select, enter, and verify their answers using the provided interactive features of the platform.
##### Navigation:
- The status below displays the progression through the questions:
- "Question 17 (0/1)"
- "Question 18 (0/1)"
- "Question 19 (1/1)"
- "Question 20 (0/1)"
Students should](https://content.bartleby.com/qna-images/question/83617cff-696d-4b65-925c-5b5c156a33cf/994686d7-13a8-4fe3-8e5f-f7a5cd4f6dae/b5hn22_reoriented.jpeg)
Transcribed Image Text:**Finding the Slope of a Line Using a Graph**
To find the slope of the line shown in the graph, follow the steps below:
1. **Identify the Points**: Look at the graph to note the coordinates of two points the line passes through. In this graph, the points are approximately (-5, 6) and (5, -3).
2. **Calculate the Slope**:
- Use the slope formula:
\[\text{Slope} (m) = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}\]
Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
- Substitute the points into the formula:
\[m = \frac{-3 - 6}{5 - (-5)} = \frac{-3 - 6}{5 + 5} = \frac{-9}{10}\]
Therefore, the slope \(m\) of the line is \(\frac{-9}{10}\) or -0.9.
3. **Answer Choices**:
- **A. The slope is [ ]**: You will input \(-0.9\) into the answer box.
- **B. The slope is undefined**: This is not correct for this line as it has a calculable slope.
### Graph Description:
- The graph has labeled x and y axes with values spanning from -6 to 6.
- The line shown is descending from left to right, indicating a negative slope.
- The grid lines help in identifying the coordinates of the points the line intersects.
After entering the slope in the answer box, click "Check Answer." If needed, you can clear the answer input with "Clear All."
### Additional Tools:
There are options provided to input different types of mathematical symbols and functions using the buttons below the answer box.
**Interactive Features**: Users can select, enter, and verify their answers using the provided interactive features of the platform.
##### Navigation:
- The status below displays the progression through the questions:
- "Question 17 (0/1)"
- "Question 18 (0/1)"
- "Question 19 (1/1)"
- "Question 20 (0/1)"
Students should
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