Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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**Transcription for Educational Website** **Graphing Linear Equations** This material is designed to assist students in understanding how to graph linear equations. The following example demonstrates how to plot the equation \( y = -0.5 \). **Graph Details:** - The graph is a standard Cartesian coordinate grid. - The x-axis and y-axis are both labeled with integer values ranging from -5 to 5. - Horizontal and vertical grid lines help to pinpoint exact coordinates. **Equation: \( y = -0.5 \)** This equation represents a horizontal line because the y-value remains constant, regardless of the x-value. **Table of Values:** | x | y | |---|-----| | -1 | -0.5 | | 0 | -0.5 | | 1 | -0.5 | **Explanation:** - The line for \( y = -0.5 \) will run parallel to the x-axis. - Each x-value in the table corresponds to the same y-value of -0.5. **Graphing Tip:** To graph the line, locate the point \((0, -0.5)\) on the y-axis. Then, draw a straight line through it parallel to the x-axis, extending across the grid. This example falls under Chapter 4, Section 4.1 of the study material, focusing on graphing linear equations (Exercise 1, Question 20).
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Transcribed Image Text:**Transcription for Educational Website** **Graphing Linear Equations** This material is designed to assist students in understanding how to graph linear equations. The following example demonstrates how to plot the equation \( y = -0.5 \). **Graph Details:** - The graph is a standard Cartesian coordinate grid. - The x-axis and y-axis are both labeled with integer values ranging from -5 to 5. - Horizontal and vertical grid lines help to pinpoint exact coordinates. **Equation: \( y = -0.5 \)** This equation represents a horizontal line because the y-value remains constant, regardless of the x-value. **Table of Values:** | x | y | |---|-----| | -1 | -0.5 | | 0 | -0.5 | | 1 | -0.5 | **Explanation:** - The line for \( y = -0.5 \) will run parallel to the x-axis. - Each x-value in the table corresponds to the same y-value of -0.5. **Graphing Tip:** To graph the line, locate the point \((0, -0.5)\) on the y-axis. Then, draw a straight line through it parallel to the x-axis, extending across the grid. This example falls under Chapter 4, Section 4.1 of the study material, focusing on graphing linear equations (Exercise 1, Question 20).
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