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. Find the slope of each line. 1) b. Find a. m = b₁ b = (0) C.

. Find the slope of each line. 1) b. Find a. m = b₁ b = (0) C.

Calculus: Early Transcendentals
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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The image contains four coordinate plane graphs, each showing a linear function. Each graph is accompanied by questions related to determining the slope (m), the y-intercept (b), and any other observations (c) about the line. **Graph Details:** 1. **Graph 5:** - A horizontal line is drawn that intersects the x-axis. - **Questions:** - a. m = (slope of the line) - b. (0, ) (y-intercept) - b = (value of the y-intercept) - c. 2. **Graph 6:** - A line with a positive slope is drawn, extending from the bottom left to the top right of the grid. - **Questions:** - a. m = (slope of the line) - b. (0, ) (y-intercept) - b = (value of the y-intercept) - c. 3. **Graph 7:** - A line with a negative slope is drawn, extending from the top left to the bottom right of the grid. - **Questions:** - a. m = (slope of the line) - b. (0, ) (y-intercept) - b = (value of the y-intercept) - c. 4. **Graph 8:** - A vertical line is drawn that intersects the y-axis. - **Questions:** - a. m = (slope of the line) - b. (0, ) (y-intercept) - b = (value of the y-intercept) - c. These activities aim to help students practice identifying and understanding different characteristics of linear functions such as their slopes and intercepts.
Transcribed Image Text:The image contains four coordinate plane graphs, each showing a linear function. Each graph is accompanied by questions related to determining the slope (m), the y-intercept (b), and any other observations (c) about the line. **Graph Details:** 1. **Graph 5:** - A horizontal line is drawn that intersects the x-axis. - **Questions:** - a. m = (slope of the line) - b. (0, ) (y-intercept) - b = (value of the y-intercept) - c. 2. **Graph 6:** - A line with a positive slope is drawn, extending from the bottom left to the top right of the grid. - **Questions:** - a. m = (slope of the line) - b. (0, ) (y-intercept) - b = (value of the y-intercept) - c. 3. **Graph 7:** - A line with a negative slope is drawn, extending from the top left to the bottom right of the grid. - **Questions:** - a. m = (slope of the line) - b. (0, ) (y-intercept) - b = (value of the y-intercept) - c. 4. **Graph 8:** - A vertical line is drawn that intersects the y-axis. - **Questions:** - a. m = (slope of the line) - b. (0, ) (y-intercept) - b = (value of the y-intercept) - c. These activities aim to help students practice identifying and understanding different characteristics of linear functions such as their slopes and intercepts.
**Exercise: Finding the Slope and Equation of a Line** For each graph provided, perform the following tasks: 1. **Find the slope of each line.** 2. **Determine the y-intercept.** 3. **Write the equation of the line in the form \( y = mx + b \).** **Graph Analysis:** 1. **Graph 1:** - This graph shows a line with a positive slope. - Task a: Determine the slope (\( m \)). - Task b: Identify the y-intercept, indicated as \( (0, \_) \). - Task c: Formulate the equation of the line. 2. **Graph 2:** - This graph depicts a line with a negative slope. - Task a: Find the slope (\( m \)). - Task b: Locate the y-intercept, denoted as \( (0, \_) \). - Task c: Compose the equation of the line. 3. **Graph 3:** - This line on the graph also has a positive slope. - Task a: Ascertain the slope (\( m \)). - Task b: Discover the y-intercept, represented as \( (0, \_) \). - Task c: Write the equation of the line. 4. **Graph 4:** - This graph features a line with a negative slope. - Task a: Calculate the slope (\( m \)). - Task b: Identify the y-intercept, marked as \( (0, \_) \). - Task c: Develop the equation of the line. **Note:** Each graph is on a coordinate plane with equal intervals on the x and y axes. Use these visual cues to determine the required information accurately.
Transcribed Image Text:**Exercise: Finding the Slope and Equation of a Line** For each graph provided, perform the following tasks: 1. **Find the slope of each line.** 2. **Determine the y-intercept.** 3. **Write the equation of the line in the form \( y = mx + b \).** **Graph Analysis:** 1. **Graph 1:** - This graph shows a line with a positive slope. - Task a: Determine the slope (\( m \)). - Task b: Identify the y-intercept, indicated as \( (0, \_) \). - Task c: Formulate the equation of the line. 2. **Graph 2:** - This graph depicts a line with a negative slope. - Task a: Find the slope (\( m \)). - Task b: Locate the y-intercept, denoted as \( (0, \_) \). - Task c: Compose the equation of the line. 3. **Graph 3:** - This line on the graph also has a positive slope. - Task a: Ascertain the slope (\( m \)). - Task b: Discover the y-intercept, represented as \( (0, \_) \). - Task c: Write the equation of the line. 4. **Graph 4:** - This graph features a line with a negative slope. - Task a: Calculate the slope (\( m \)). - Task b: Identify the y-intercept, marked as \( (0, \_) \). - Task c: Develop the equation of the line. **Note:** Each graph is on a coordinate plane with equal intervals on the x and y axes. Use these visual cues to determine the required information accurately.
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