Find the slope of the line passing through the pair of points. Answer E IF Correct (6.-12) and (10, 16)
Find the slope of the line passing through the pair of points. Answer E IF Correct (6.-12) and (10, 16)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Lesson: 5.2 Linear Modeling**
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**Question 1 of 14, Step 1 of 1**
**Task:**
Find the slope of the line passing through the pair of points:
\((6, -12)\) and \((10, 16)\)
**Prompt for Answer:**
\[ m = \]
---
To find the slope (\(m\)) of a line between two points \((x_1, y_1)\) and \((x_2, y_2)\), use the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Apply this formula to the given points:
\[ m = \frac{16 - (-12)}{10 - 6} = \frac{28}{4} = 7 \]
Thus, the slope of the line is \( m = 7 \).
**Submit Answer** button is available for entering your solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04170332-2888-4f77-9585-fb0992d8c6d5%2F67fb4b37-7346-4e06-a089-0e97b15e506b%2F1sidcwf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Lesson: 5.2 Linear Modeling**
---
**Question 1 of 14, Step 1 of 1**
**Task:**
Find the slope of the line passing through the pair of points:
\((6, -12)\) and \((10, 16)\)
**Prompt for Answer:**
\[ m = \]
---
To find the slope (\(m\)) of a line between two points \((x_1, y_1)\) and \((x_2, y_2)\), use the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Apply this formula to the given points:
\[ m = \frac{16 - (-12)}{10 - 6} = \frac{28}{4} = 7 \]
Thus, the slope of the line is \( m = 7 \).
**Submit Answer** button is available for entering your solution.
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