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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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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