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The task requires graphing a linear function given by the equation \( y = -\frac{3}{4}x - 3 \). Below are four graph options with potential plots: 1. **Graph 1:** A line with a negative slope crosses the y-axis at \(-3\). As \(x\) increases, \(y\) decreases. The graph appears to correctly represent the function \( y = -\frac{3}{4}x - 3 \). 2. **Graph 2:** A line with a negative slope, but it does not cross the y-axis at the correct point of \(-3\). 3. **Graph 3:** A line with a positive slope, indicating an incorrect representation of the provided function, which should have a negative slope. 4. **Graph 4:** Similar to Graph 3, this line has a positive slope and also incorrectly represents the function. The correct graph of the function \( y = -\frac{3}{4}x - 3 \) is shown in **Graph 1**. The line intersects the y-axis at \(-3\) and has a downward slope, decreasing by 3 units for every 4 units it moves to the right along the x-axis.

The task requires graphing a linear function given by the equation \( y = -\frac{3}{4}x - 3 \). Below are four graph options with potential plots: 1. **Graph 1:** A line with a negative slope crosses the y-axis at \(-3\). As \(x\) increases, \(y\) decreases. The graph appears to correctly represent the function \( y = -\frac{3}{4}x - 3 \). 2. **Graph 2:** A line with a negative slope, but it does not cross the y-axis at the correct point of \(-3\). 3. **Graph 3:** A line with a positive slope, indicating an incorrect representation of the provided function, which should have a negative slope. 4. **Graph 4:** Similar to Graph 3, this line has a positive slope and also incorrectly represents the function. The correct graph of the function \( y = -\frac{3}{4}x - 3 \) is shown in **Graph 1**. The line intersects the y-axis at \(-3\) and has a downward slope, decreasing by 3 units for every 4 units it moves to the right along the x-axis.

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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The task requires graphing a linear function given by the equation \( y = -\frac{3}{4}x - 3 \). Below are four graph options with potential plots: 1. **Graph 1:** A line with a negative slope crosses the y-axis at \(-3\). As \(x\) increases, \(y\) decreases. The graph appears to correctly represent the function \( y = -\frac{3}{4}x - 3 \). 2. **Graph 2:** A line with a negative slope, but it does not cross the y-axis at the correct point of \(-3\). 3. **Graph 3:** A line with a positive slope, indicating an incorrect representation of the provided function, which should have a negative slope. 4. **Graph 4:** Similar to Graph 3, this line has a positive slope and also incorrectly represents the function. The correct graph of the function \( y = -\frac{3}{4}x - 3 \) is shown in **Graph 1**. The line intersects the y-axis at \(-3\) and has a downward slope, decreasing by 3 units for every 4 units it moves to the right along the x-axis.
Transcribed Image Text:The task requires graphing a linear function given by the equation \( y = -\frac{3}{4}x - 3 \). Below are four graph options with potential plots: 1. **Graph 1:** A line with a negative slope crosses the y-axis at \(-3\). As \(x\) increases, \(y\) decreases. The graph appears to correctly represent the function \( y = -\frac{3}{4}x - 3 \). 2. **Graph 2:** A line with a negative slope, but it does not cross the y-axis at the correct point of \(-3\). 3. **Graph 3:** A line with a positive slope, indicating an incorrect representation of the provided function, which should have a negative slope. 4. **Graph 4:** Similar to Graph 3, this line has a positive slope and also incorrectly represents the function. The correct graph of the function \( y = -\frac{3}{4}x - 3 \) is shown in **Graph 1**. The line intersects the y-axis at \(-3\) and has a downward slope, decreasing by 3 units for every 4 units it moves to the right along the x-axis.
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Step 1: Determine the graph of the function

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