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LAU Select the graph of the linear equation: x = 3 O O O P T 2 ry 2 2

LAU Select the graph of the linear equation: x = 3 O O O P T 2 ry 2 2

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
**Title: Graphing Linear Equations** **Select the Graph of the Linear Equation: \( x = 3 \)** The question presents four different graphs for the students to choose from. The task is to select the correct graph that represents the linear equation \( x = 3 \). **Graphs Description:** 1. **Graph 1 (Top Left):** A horizontal line crossing the y-axis. This graph is not the correct representation of the equation \( x = 3 \), as \( x = 3 \) is a vertical line. 2. **Graph 2 (Second from Top):** A diagonal line with a positive slope, crossing both the x-axis and the y-axis. This graph does not represent \( x = 3 \). 3. **Graph 3 (Second from Bottom):** Another diagonal line with a positive slope, similar to the second graph but possibly with a different angle. This is also not the correct graph for \( x = 3 \). 4. **Graph 4 (Bottom):** A vertical line parallel to the y-axis, crossing the x-axis at \( x = 3 \). This is the correct graph for the equation \( x = 3 \). **Explanation:** The linear equation \( x = 3 \) indicates a vertical line that crosses the x-axis at the point (3, y) for all values of y. The correct graph representation shows a straight vertical line running parallel to the y-axis and intersecting the x-axis at \( x = 3 \). By understanding that vertical lines on a graph are represented by equations of the form \( x = c \) (where \( c \) is a constant), and recognizing that only the fourth graph meets this criterion, we can confidently determine that the fourth graph (bottom graph) is the correct representation of \( x = 3 \).
Transcribed Image Text:**Title: Graphing Linear Equations** **Select the Graph of the Linear Equation: \( x = 3 \)** The question presents four different graphs for the students to choose from. The task is to select the correct graph that represents the linear equation \( x = 3 \). **Graphs Description:** 1. **Graph 1 (Top Left):** A horizontal line crossing the y-axis. This graph is not the correct representation of the equation \( x = 3 \), as \( x = 3 \) is a vertical line. 2. **Graph 2 (Second from Top):** A diagonal line with a positive slope, crossing both the x-axis and the y-axis. This graph does not represent \( x = 3 \). 3. **Graph 3 (Second from Bottom):** Another diagonal line with a positive slope, similar to the second graph but possibly with a different angle. This is also not the correct graph for \( x = 3 \). 4. **Graph 4 (Bottom):** A vertical line parallel to the y-axis, crossing the x-axis at \( x = 3 \). This is the correct graph for the equation \( x = 3 \). **Explanation:** The linear equation \( x = 3 \) indicates a vertical line that crosses the x-axis at the point (3, y) for all values of y. The correct graph representation shows a straight vertical line running parallel to the y-axis and intersecting the x-axis at \( x = 3 \). By understanding that vertical lines on a graph are represented by equations of the form \( x = c \) (where \( c \) is a constant), and recognizing that only the fourth graph meets this criterion, we can confidently determine that the fourth graph (bottom graph) is the correct representation of \( x = 3 \).
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