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** 1 -5 slope = %3D y-intercept = %3D 5. /3 II

** 1 -5 slope = %3D y-intercept = %3D 5. /3 II

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Transcription for Educational Website **Equation and Graph Details:** #### Equation 3. \( y = \frac{1}{3}x + 1 \) - The equation is in the form of a linear equation \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. #### Graph Explanation - The graph is plotted on a standard Cartesian coordinate system. - The x-axis and y-axis are both labeled from -5 to 5. - The origin is marked as \( O \). **Interpreting the Graph:** - **Slope:** The slope is \(\frac{1}{3}\), which indicates that for every unit increase in \( x \), \( y \) increases by \(\frac{1}{3}\). - **Y-Intercept:** The y-intercept is 1, where the line crosses the y-axis. #### Exercises - **Slope =** __________ - **Y-Intercept =** __________ This section can be used to test your understanding of identifying the slope and y-intercept from the given equation and graph.
Transcribed Image Text:### Transcription for Educational Website **Equation and Graph Details:** #### Equation 3. \( y = \frac{1}{3}x + 1 \) - The equation is in the form of a linear equation \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. #### Graph Explanation - The graph is plotted on a standard Cartesian coordinate system. - The x-axis and y-axis are both labeled from -5 to 5. - The origin is marked as \( O \). **Interpreting the Graph:** - **Slope:** The slope is \(\frac{1}{3}\), which indicates that for every unit increase in \( x \), \( y \) increases by \(\frac{1}{3}\). - **Y-Intercept:** The y-intercept is 1, where the line crosses the y-axis. #### Exercises - **Slope =** __________ - **Y-Intercept =** __________ This section can be used to test your understanding of identifying the slope and y-intercept from the given equation and graph.
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