### Graph the Line Equation: \( 2x + y = -2 \) #### Instructions: To graph the line represented by the equation \( 2x + y = -2 \), follow these steps: 1. **Rewrite the Equation in Slope-Intercept Form:** The slope-intercept form is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. \[ 2x + y = -2 \\ y = -2x - 2 \] 2. **Identify the Slope and Y-Intercept:** - Slope (\( m \)): -2 - Y-intercept (\( b \)): -2 3. **Plot the Y-Intercept:** - Start by plotting the point (0, -2) on the graph. 4. **Use the Slope to Find Another Point:** - The slope of -2 means that for every one unit you move to the right along the x-axis, you move two units down along the y-axis. - From (0, -2), move 1 unit to the right (to x = 1) and 2 units down (to y = -4). - Plot the point (1, -4). 5. **Draw the Line:** - Connect the points (0, -2) and (1, -4) with a straight line. #### Example Graph: Below is a diagram representing the coordinate plane where you can plot the line based on the instructions above: ##### Graph: - The X and Y axes are marked. - The point of origin (0, 0) is highlighted. - The Y-axis is labeled from -8 to 8 in increments of 2. - The X-axis is labeled from -8 to 8 in increments of 2. - There is a button labeled "Check" likely to verify the drawn line. Once you've plotted the points and drawn the line, you should see a linear representation of the equation \( y = -2x - 2 \) on the graph.
### Graph the Line Equation: \( 2x + y = -2 \) #### Instructions: To graph the line represented by the equation \( 2x + y = -2 \), follow these steps: 1. **Rewrite the Equation in Slope-Intercept Form:** The slope-intercept form is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. \[ 2x + y = -2 \\ y = -2x - 2 \] 2. **Identify the Slope and Y-Intercept:** - Slope (\( m \)): -2 - Y-intercept (\( b \)): -2 3. **Plot the Y-Intercept:** - Start by plotting the point (0, -2) on the graph. 4. **Use the Slope to Find Another Point:** - The slope of -2 means that for every one unit you move to the right along the x-axis, you move two units down along the y-axis. - From (0, -2), move 1 unit to the right (to x = 1) and 2 units down (to y = -4). - Plot the point (1, -4). 5. **Draw the Line:** - Connect the points (0, -2) and (1, -4) with a straight line. #### Example Graph: Below is a diagram representing the coordinate plane where you can plot the line based on the instructions above: ##### Graph: - The X and Y axes are marked. - The point of origin (0, 0) is highlighted. - The Y-axis is labeled from -8 to 8 in increments of 2. - The X-axis is labeled from -8 to 8 in increments of 2. - There is a button labeled "Check" likely to verify the drawn line. Once you've plotted the points and drawn the line, you should see a linear representation of the equation \( y = -2x - 2 \) on the graph.
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 the Line
Equation: \( 2x + y = -2 \)
#### Instructions:
To graph the line represented by the equation \( 2x + y = -2 \), follow these steps:
1. **Rewrite the Equation in Slope-Intercept Form:**
The slope-intercept form is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
\[
2x + y = -2 \\
y = -2x - 2
\]
2. **Identify the Slope and Y-Intercept:**
- Slope (\( m \)): -2
- Y-intercept (\( b \)): -2
3. **Plot the Y-Intercept:**
- Start by plotting the point (0, -2) on the graph.
4. **Use the Slope to Find Another Point:**
- The slope of -2 means that for every one unit you move to the right along the x-axis, you move two units down along the y-axis.
- From (0, -2), move 1 unit to the right (to x = 1) and 2 units down (to y = -4).
- Plot the point (1, -4).
5. **Draw the Line:**
- Connect the points (0, -2) and (1, -4) with a straight line.
#### Example Graph:
Below is a diagram representing the coordinate plane where you can plot the line based on the instructions above:
##### Graph:
- The X and Y axes are marked.
- The point of origin (0, 0) is highlighted.
- The Y-axis is labeled from -8 to 8 in increments of 2.
- The X-axis is labeled from -8 to 8 in increments of 2.
- There is a button labeled "Check" likely to verify the drawn line.
Once you've plotted the points and drawn the line, you should see a linear representation of the equation \( y = -2x - 2 \) on the graph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61c70154-6dcc-4ad1-b23f-82f068f0fd01%2F023ecd0a-4a05-41fd-880c-cb04360403cf%2F33nr1i9.jpeg&w=3840&q=75)
Transcribed Image Text:### Graph the Line
Equation: \( 2x + y = -2 \)
#### Instructions:
To graph the line represented by the equation \( 2x + y = -2 \), follow these steps:
1. **Rewrite the Equation in Slope-Intercept Form:**
The slope-intercept form is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
\[
2x + y = -2 \\
y = -2x - 2
\]
2. **Identify the Slope and Y-Intercept:**
- Slope (\( m \)): -2
- Y-intercept (\( b \)): -2
3. **Plot the Y-Intercept:**
- Start by plotting the point (0, -2) on the graph.
4. **Use the Slope to Find Another Point:**
- The slope of -2 means that for every one unit you move to the right along the x-axis, you move two units down along the y-axis.
- From (0, -2), move 1 unit to the right (to x = 1) and 2 units down (to y = -4).
- Plot the point (1, -4).
5. **Draw the Line:**
- Connect the points (0, -2) and (1, -4) with a straight line.
#### Example Graph:
Below is a diagram representing the coordinate plane where you can plot the line based on the instructions above:
##### Graph:
- The X and Y axes are marked.
- The point of origin (0, 0) is highlighted.
- The Y-axis is labeled from -8 to 8 in increments of 2.
- The X-axis is labeled from -8 to 8 in increments of 2.
- There is a button labeled "Check" likely to verify the drawn line.
Once you've plotted the points and drawn the line, you should see a linear representation of the equation \( y = -2x - 2 \) on the graph.
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