## Graphing Linear Equations Using Intercepts ### Instructions To graph the equation, use the intercepts method. #### Equation: \( y = -x - 7 \) #### Steps: 1. **Find the x-intercept:** - Set \( y = 0 \) in the equation and solve for \( x \). - Enter the x-intercept as a coordinate \((a, b)\). If there is no x-intercept, enter "DNE" (Does Not Exist). 2. **Find the y-intercept:** - Set \( x = 0 \) in the equation and solve for \( y \). - Enter the y-intercept as a coordinate \((a, b)\). If there is no y-intercept, enter "DNE" (Does Not Exist). #### Coordinate Grid: - A coordinate grid is provided ranging from \(-8\) to \(8\) on both the x and y axes. - You can use drawing tools provided to plot the intercepts and draw the line. #### Tools: - Clear All: Resets the grid. - Draw: Various tools are available to draw straight lines or other shapes as needed. After plotting the points, draw a straight line through the intercepts to represent the linear equation on the graph. ### Graph Details - The grid consists of evenly spaced horizontal and vertical lines. - The origin \((0, 0)\) is at the center of the grid. - The x-axis is horizontal, and the y-axis is vertical. Ensure you've entered the correct intercepts and submitted your solution after plotting.
## Graphing Linear Equations Using Intercepts ### Instructions To graph the equation, use the intercepts method. #### Equation: \( y = -x - 7 \) #### Steps: 1. **Find the x-intercept:** - Set \( y = 0 \) in the equation and solve for \( x \). - Enter the x-intercept as a coordinate \((a, b)\). If there is no x-intercept, enter "DNE" (Does Not Exist). 2. **Find the y-intercept:** - Set \( x = 0 \) in the equation and solve for \( y \). - Enter the y-intercept as a coordinate \((a, b)\). If there is no y-intercept, enter "DNE" (Does Not Exist). #### Coordinate Grid: - A coordinate grid is provided ranging from \(-8\) to \(8\) on both the x and y axes. - You can use drawing tools provided to plot the intercepts and draw the line. #### Tools: - Clear All: Resets the grid. - Draw: Various tools are available to draw straight lines or other shapes as needed. After plotting the points, draw a straight line through the intercepts to represent the linear equation on the graph. ### Graph Details - The grid consists of evenly spaced horizontal and vertical lines. - The origin \((0, 0)\) is at the center of the grid. - The x-axis is horizontal, and the y-axis is vertical. Ensure you've entered the correct intercepts and submitted your solution after plotting.
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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Transcribed Image Text:## Graphing Linear Equations Using Intercepts
### Instructions
To graph the equation, use the intercepts method.
#### Equation:
\( y = -x - 7 \)
#### Steps:
1. **Find the x-intercept:**
- Set \( y = 0 \) in the equation and solve for \( x \).
- Enter the x-intercept as a coordinate \((a, b)\). If there is no x-intercept, enter "DNE" (Does Not Exist).
2. **Find the y-intercept:**
- Set \( x = 0 \) in the equation and solve for \( y \).
- Enter the y-intercept as a coordinate \((a, b)\). If there is no y-intercept, enter "DNE" (Does Not Exist).
#### Coordinate Grid:
- A coordinate grid is provided ranging from \(-8\) to \(8\) on both the x and y axes.
- You can use drawing tools provided to plot the intercepts and draw the line.
#### Tools:
- Clear All: Resets the grid.
- Draw: Various tools are available to draw straight lines or other shapes as needed.
After plotting the points, draw a straight line through the intercepts to represent the linear equation on the graph.
### Graph Details
- The grid consists of evenly spaced horizontal and vertical lines.
- The origin \((0, 0)\) is at the center of the grid.
- The x-axis is horizontal, and the y-axis is vertical.
Ensure you've entered the correct intercepts and submitted your solution after plotting.
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