-x+y = 3 -43-2-1 0 2 3 4 5x %3D4

Algebra and Trigonometry (6th Edition)
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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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### Graphing Linear Equations

#### Exercises:
Graph the function when the domain is the set of real numbers. If necessary, solve the equation for y. Make a table for at least three ordered pairs.

1. **Equation: \( y = 4x - 1 \)** 

**Graph:**
The coordinate plane provided shows the x-axis and y-axis ranging from -5 to 5. The graph of the equation \( y = 4x - 1 \) would be a straight line. Create a table of values:
   
   | x | y  |
   |---|----|
   | 0 | -1 |
   | 1 |  3 |
   | 2 |  7 |

   Plot these points and draw a straight line through them.

2. **Equation: \( 2x + 4y = -8 \)** 

**Graph:**
The provided coordinate plane ranges from -5 to 5 on both the x-axis and y-axis. First, solve for y:

\[ 2x + 4y = -8 \]
\[ 4y = -2x - 8 \]
\[ y = -\frac{1}{2}x - 2 \]

Create a table of values:

   | x | y  |
   |---|----|
   | 0 | -2 |
   | 2 | -3 |
   | 4 | -4 |

   Plot these points and draw a straight line through them.

3. **Equation: \( x + y = 3 \)** 

**Graph:**
The coordinate grid provided ranges from -5 to 5 on both the x-axis and y-axis. Solve for y:

\[ x + y = 3 \]
\[ y = 3 - x \]

Create a table of values:

   | x | y  |
   |---|----|
   | 0 |  3 |
   | 1 |  2 |
   | 2 |  1 |

   Plot these points and draw a straight line through them.

**Note on Graphs:** 
Each graph shows straight lines representing the linear equations based on the calculated points. Each grid should be carefully labeled and points accurately plotted to ensure the lines correctly represent the equations.
Transcribed Image Text:### Graphing Linear Equations #### Exercises: Graph the function when the domain is the set of real numbers. If necessary, solve the equation for y. Make a table for at least three ordered pairs. 1. **Equation: \( y = 4x - 1 \)** **Graph:** The coordinate plane provided shows the x-axis and y-axis ranging from -5 to 5. The graph of the equation \( y = 4x - 1 \) would be a straight line. Create a table of values: | x | y | |---|----| | 0 | -1 | | 1 | 3 | | 2 | 7 | Plot these points and draw a straight line through them. 2. **Equation: \( 2x + 4y = -8 \)** **Graph:** The provided coordinate plane ranges from -5 to 5 on both the x-axis and y-axis. First, solve for y: \[ 2x + 4y = -8 \] \[ 4y = -2x - 8 \] \[ y = -\frac{1}{2}x - 2 \] Create a table of values: | x | y | |---|----| | 0 | -2 | | 2 | -3 | | 4 | -4 | Plot these points and draw a straight line through them. 3. **Equation: \( x + y = 3 \)** **Graph:** The coordinate grid provided ranges from -5 to 5 on both the x-axis and y-axis. Solve for y: \[ x + y = 3 \] \[ y = 3 - x \] Create a table of values: | x | y | |---|----| | 0 | 3 | | 1 | 2 | | 2 | 1 | Plot these points and draw a straight line through them. **Note on Graphs:** Each graph shows straight lines representing the linear equations based on the calculated points. Each grid should be carefully labeled and points accurately plotted to ensure the lines correctly represent the equations.
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