Find the slope of the line if it is defined. Through (-11,-5) and (-1,4) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The slope is (Type an integer or a simplified fraction.) B. The slope is undefined.
Find the slope of the line if it is defined. Through (-11,-5) and (-1,4) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The slope is (Type an integer or a simplified fraction.) B. The slope is undefined.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Finding the Slope of a Line**
To determine the slope of a line if it is defined, consider the points provided: (-11, -5) and (-1, 4).
The slope \( m \) of the line passing through these points can be calculated using the formula:
\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \]
Given the coordinates:
- Point 1: \((-11, -5)\)
- Point 2: \((-1, 4)\)
Substitute the values into the formula:
\[ m = \frac{{4 - (-5)}}{{-1 - (-11)}} \]
Simplify the equation:
\[ m = \frac{{4 + 5}}{{-1 + 11}} \]
\[ m = \frac{9}{10} \]
Thus, the slope \( m \) is \(\frac{9}{10}\).
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
⭕ A. The slope is \[\boxed{\frac{9}{10}}\] (Type an integer or a simplified fraction.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97184fab-fce4-43b1-85fd-c47064c00bbe%2Fac1eca9d-4ae4-420e-85fd-53f5b7bac015%2F34n6w9d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
**Finding the Slope of a Line**
To determine the slope of a line if it is defined, consider the points provided: (-11, -5) and (-1, 4).
The slope \( m \) of the line passing through these points can be calculated using the formula:
\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \]
Given the coordinates:
- Point 1: \((-11, -5)\)
- Point 2: \((-1, 4)\)
Substitute the values into the formula:
\[ m = \frac{{4 - (-5)}}{{-1 - (-11)}} \]
Simplify the equation:
\[ m = \frac{{4 + 5}}{{-1 + 11}} \]
\[ m = \frac{9}{10} \]
Thus, the slope \( m \) is \(\frac{9}{10}\).
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
⭕ A. The slope is \[\boxed{\frac{9}{10}}\] (Type an integer or a simplified fraction.)
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