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1. y= 2x -1 5n -5 01 -5 slope = %3D %3D y-intercept =

1. y= 2x -1 5n -5 01 -5 slope = %3D %3D y-intercept =

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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**Graph and Equation Explanation for Educational Purposes** ### Image Transcription: 1. **Equation:** - \( y = 2x - 1 \) - Presented in a linear form, indicating a straight line graph. 2. **Formula for Slope and Intercept:** - Slope = \(\frac{\text{rise}}{\text{run}}\) - \( y\)-intercept = \((0, b)\) which in this case refers to the constant in the equation. ### Diagram Details: **Graph:** - **Axes:** - **X-axis (horizontal):** Labeled with increments of 5, spanning from -5 to 5. - **Y-axis (vertical):** Labeled similarly to the X-axis with increments of 5, both positive and negative. - The central point of intersection is marked as \(O\). - **Grid:** - A square grid layout providing a coordinate plane for plotting. **Understanding the Graph:** - This graph is set up to plot the linear equation \( y = 2x - 1 \). - The slope of this line is 2, indicating it rises by 2 units for every 1 unit it moves horizontally to the right. - The y-intercept is -1, showing where the line crosses the y-axis. This setup is essential for understanding linear functions and how changes in slope and y-intercept affect the graph's position and orientation.
Transcribed Image Text:**Graph and Equation Explanation for Educational Purposes** ### Image Transcription: 1. **Equation:** - \( y = 2x - 1 \) - Presented in a linear form, indicating a straight line graph. 2. **Formula for Slope and Intercept:** - Slope = \(\frac{\text{rise}}{\text{run}}\) - \( y\)-intercept = \((0, b)\) which in this case refers to the constant in the equation. ### Diagram Details: **Graph:** - **Axes:** - **X-axis (horizontal):** Labeled with increments of 5, spanning from -5 to 5. - **Y-axis (vertical):** Labeled similarly to the X-axis with increments of 5, both positive and negative. - The central point of intersection is marked as \(O\). - **Grid:** - A square grid layout providing a coordinate plane for plotting. **Understanding the Graph:** - This graph is set up to plot the linear equation \( y = 2x - 1 \). - The slope of this line is 2, indicating it rises by 2 units for every 1 unit it moves horizontally to the right. - The y-intercept is -1, showing where the line crosses the y-axis. This setup is essential for understanding linear functions and how changes in slope and y-intercept affect the graph's position and orientation.
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