Use the intercepts to graph the equation. y=-1 x-intercept: enter DNE. y-intercept: enter DNE. -8 -7 X Clear All Draw: -3 -2 -1 8 7 6 5 4 3 2 -1 -2 -3 -5 -6 -7 -8- 1 Enter as a coordinate: such as (a, b). If there is no x-intercept, Enter as a coordinate: such as (a, b). If there is no y-intercept, 2 3 5 6 7 8
Use the intercepts to graph the equation. y=-1 x-intercept: enter DNE. y-intercept: enter DNE. -8 -7 X Clear All Draw: -3 -2 -1 8 7 6 5 4 3 2 -1 -2 -3 -5 -6 -7 -8- 1 Enter as a coordinate: such as (a, b). If there is no x-intercept, Enter as a coordinate: such as (a, b). If there is no y-intercept, 2 3 5 6 7 8
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 17E: Use slope-intercept form to write an equation of a line passing through the give point and having...
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Question
![### Using Intercepts to Graph a Linear Equation
Consider the equation:
\[ y = -1 \]
In order to graph this equation, we need to determine the intercepts.
#### Intercepts:
- **x-intercept (where the line crosses the x-axis):**
Since this is a horizontal line and y is always -1, there is no x-intercept.
Enter as a coordinate: such as \((a, b)\). If there is no \(x\)-intercept, enter DNE.
- **y-intercept (where the line crosses the y-axis):**
Here, y is -1 for all values of x, so it intersects the y-axis at \(y = -1\).
Enter as a coordinate: such as \((a, b)\). If there is no \(y\)-intercept, enter DNE.
In this case, the y-intercept is \((0, -1)\).
#### Graphical Representation:
Below is a graph showing the line \(y = -1\):
![Graph of y = -1](image_url)
1. **Axes:** The x-axis ranges from -8 to 8, and the y-axis ranges from -8 to 8.
2. **Line:** The line \(y = -1\) is represented by a horizontal blue line passing through \(y = -1\) on the y-axis.
3. **Points:** The intersection points shown are at y = -1 on the y-axis.
4. **Tools:** At the bottom of the graph, there are tools for drawing lines, parabolas, and other figures, as well as options to clear the graph.
To plot this line, simply draw a horizontal line through the y-coordinate -1 which extends infinitely in both directions along the x-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa369931a-fe5c-47f4-90de-c0f8ffd54c08%2F4d53e094-a7ff-4037-a1b9-50751de69f60%2F7gq08pn_processed.png&w=3840&q=75)
Transcribed Image Text:### Using Intercepts to Graph a Linear Equation
Consider the equation:
\[ y = -1 \]
In order to graph this equation, we need to determine the intercepts.
#### Intercepts:
- **x-intercept (where the line crosses the x-axis):**
Since this is a horizontal line and y is always -1, there is no x-intercept.
Enter as a coordinate: such as \((a, b)\). If there is no \(x\)-intercept, enter DNE.
- **y-intercept (where the line crosses the y-axis):**
Here, y is -1 for all values of x, so it intersects the y-axis at \(y = -1\).
Enter as a coordinate: such as \((a, b)\). If there is no \(y\)-intercept, enter DNE.
In this case, the y-intercept is \((0, -1)\).
#### Graphical Representation:
Below is a graph showing the line \(y = -1\):
![Graph of y = -1](image_url)
1. **Axes:** The x-axis ranges from -8 to 8, and the y-axis ranges from -8 to 8.
2. **Line:** The line \(y = -1\) is represented by a horizontal blue line passing through \(y = -1\) on the y-axis.
3. **Points:** The intersection points shown are at y = -1 on the y-axis.
4. **Tools:** At the bottom of the graph, there are tools for drawing lines, parabolas, and other figures, as well as options to clear the graph.
To plot this line, simply draw a horizontal line through the y-coordinate -1 which extends infinitely in both directions along the x-axis.
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