Help me with all of them please. ### Understanding the Graph of a Linear Equation**Objective:**Learn how to graph the linear equation $ y = -5 $ using a graphing tool.**Graph:**#### Equation: $ y = -5 $**Graphical Representation:**- This equation represents a horizontal line where the y-coordinate is constantly $-5$ for all values of $x$.**Graphical Interface and Tools:**1. **Graph Display:** - The graphing area shows a Cartesian coordinate system with equal intervals for both $x$ and $y$ axes. - The $x$-axis and $y$-axis are both labeled from $-10$ to $10$ with gridlines to assist in plotting points.2. **Tools Available on the Left Toolbar:** - **Pointer Tool:** Used for selecting objects on the graph. - **Line Tool:** Used for drawing straight lines. - **Circle Tool:** Used for drawing circles. - **Parabola Tool:** Used for drawing parabolic curves. - **Point Tool:** Used for plotting and marking specific points. - **No Solution Tool:** Marks equations or graphs with no solution.3. **Graph Layers Panel (Right Side):** - This panel helps in managing the different objects and elements on the graph. - The description states: "After you add an object to the graph you can use Graph Layers to view and edit its properties."4. **Actions Panel (Right Side):** - **Clear All:** Clear all objects on the graph. - **Delete:** Remove selected objects. - **Fill:** Used for coloring the objects.5. **Help Button (Bottom Left Corner):** - Provides assistance and additional information about using the graphing tool.**Plotting the Equation $ y = -5 $:**- Locate the y-intercept at $ y = -5 $.- Draw a horizontal line through the point where $ y = -5 $ across the entire span of the graph.- Ensure the line is parallel to the x-axis to accurately represent the equation.This graphing tool, provided by WebAssign, ensures a comprehensive and interactive experience to enhance understanding and visualization of mathematical concepts. ### Graphing the Equation $ y = 4 $When graphing the equation $ y = 4 $, we need to find three ordered-pair solutions to plot. For consistency, we will choose different values for $ x $ and use $ y = 4 $ for each one.#### Step-by-Step Solution:1. The given equation is $ y = 4 $.2. **General Form of the Equation:** We can rewrite the equation in general form as $ 0x + y = 4 $. Since the coefficient of $ x $ is 0, the $ x $-values do not affect the $ y $-values. Therefore, for any chosen $ x $, $ y $ will always be 4. 3. **Example Calculation:** For $ x = 2 $: \[ 0(2) + y = 4 \quad \text{(Substitute $ 2 $ for $ x $)} \] \[ y = 4 \quad \text{(Simplify the left side)} \] This results in the ordered-pair $(2, 4)$.4. **Finding More Solutions:** To find two more solutions, we choose $ x = 0 $ and $ x = -3 $. For any $ x $-value, the $ y $-value must always be 4. Thus, the ordered pairs are: \[ (0, 4) \quad \text{and} \quad (-3, 4) \]5. **Summary of Ordered Pairs:** \[ (2, 4), \quad (0, 4), \quad (-3, 4) \]6. **Plotting the Points:** On a graph, plot the points $(2, 4)$, $(0, 4)$, and $(-3, 4)$. Draw a straight line through these points. - The graph depicts a horizontal line at $ y = 4 $. - The $ y $-intercept is $ (0, 4) $. - There is no $ x $-intercept because the line never crosses the $ x $-axis.### Graph and Table Representation:The table and graph below summarize the

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Description: Help me with all of them please. ### Understanding the Graph of a Linear Equation**Objective:**Learn how to graph the linear equation $ y = -5 $ using a graphing tool.**Graph:**#### Equation: $ y = -5 $**Graphical Representation:**- This equation

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Graph: y = 4 To find three ordered-pair solutions of this equation to plot, we will select three values for x and use 4 for y each time. The given equation requires that y = 4. We can write the equation in general form as 0x + y = 4. Since the coefficient of x is 0, the numbers chosen for x have no effect on y. The value of y is always 4. For example, if X = 2, we have Ox + y = 4 This is the given equation, y = 4, written in standard (general) form. 0(2) + y = Substitute 2 for x. y = Simplify the left side. One solution is (2, 4). To find two more solutions, we choose x = 0 and x = -3. For any x-value, the y-value is always 4, so we enter (0, 4) and (-3, 4) in the table. If we plot the ordered pairs and draw a straight line through the points, the result is a horizontal line. The y-intercept is (0, 4) and there is no x-intercept. y y = 4 y (х, у) (-3, 4) (0, 4) (2, 4) (2, O) 4 y = 4 4 (0, (-3, O) -3 4 -3 -2 2 Choose any number for Each value of y must be 4. х. -2 Graph: y = -5

Graph: y = 4 To find three ordered-pair solutions of this equation to plot, we will select three values for x and use 4 for y each time. The given equation requires that y = 4. We can write the equation in general form as 0x + y = 4. Since the coefficient of x is 0, the numbers chosen for x have no effect on y. The value of y is always 4. For example, if X = 2, we have Ox + y = 4 This is the given equation, y = 4, written in standard (general) form. 0(2) + y = Substitute 2 for x. y = Simplify the left side. One solution is (2, 4). To find two more solutions, we choose x = 0 and x = -3. For any x-value, the y-value is always 4, so we enter (0, 4) and (-3, 4) in the table. If we plot the ordered pairs and draw a straight line through the points, the result is a horizontal line. The y-intercept is (0, 4) and there is no x-intercept. y y = 4 y (х, у) (-3, 4) (0, 4) (2, 4) (2, O) 4 y = 4 4 (0, (-3, O) -3 4 -3 -2 2 Choose any number for Each value of y must be 4. х. -2 Graph: y = -5

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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Topic Video

Question

Help me with all of them please.

### Understanding the Graph of a Linear Equation

**Objective:**
Learn how to graph the linear equation $ y = -5 $ using a graphing tool.

**Graph:**
#### Equation: $ y = -5 $

**Graphical Representation:**
- This equation represents a horizontal line where the y-coordinate is constantly $-5$ for all values of $x$.

**Graphical Interface and Tools:**

1. **Graph Display:**
- The graphing area shows a Cartesian coordinate system with equal intervals for both $x$ and $y$ axes.
- The $x$-axis and $y$-axis are both labeled from $-10$ to $10$ with gridlines to assist in plotting points.

2. **Tools Available on the Left Toolbar:**
- **Pointer Tool:** Used for selecting objects on the graph.
- **Line Tool:** Used for drawing straight lines.
- **Circle Tool:** Used for drawing circles.
- **Parabola Tool:** Used for drawing parabolic curves.
- **Point Tool:** Used for plotting and marking specific points.
- **No Solution Tool:** Marks equations or graphs with no solution.

3. **Graph Layers Panel (Right Side):**
- This panel helps in managing the different objects and elements on the graph.
- The description states: "After you add an object to the graph you can use Graph Layers to view and edit its properties."

4. **Actions Panel (Right Side):**
- **Clear All:** Clear all objects on the graph.
- **Delete:** Remove selected objects.
- **Fill:** Used for coloring the objects.

5. **Help Button (Bottom Left Corner):**
- Provides assistance and additional information about using the graphing tool.

**Plotting the Equation $ y = -5 $:**
- Locate the y-intercept at $ y = -5 $.
- Draw a horizontal line through the point where $ y = -5 $ across the entire span of the graph.
- Ensure the line is parallel to the x-axis to accurately represent the equation.

This graphing tool, provided by WebAssign, ensures a comprehensive and interactive experience to enhance understanding and visualization of mathematical concepts.

### Graphing the Equation $ y = 4 $

When graphing the equation $ y = 4 $, we need to find three ordered-pair solutions to plot. For consistency, we will choose different values for $ x $ and use $ y = 4 $ for each one.

#### Step-by-Step Solution:
1. The given equation is $ y = 4 $.

2. **General Form of the Equation:**
We can rewrite the equation in general form as $ 0x + y = 4 $.
Since the coefficient of $ x $ is 0, the $ x $-values do not affect the $ y $-values. Therefore, for any chosen $ x $, $ y $ will always be 4.

3. **Example Calculation:**
For $ x = 2 $:
\[
0(2) + y = 4 \quad \text{(Substitute $ 2 $ for $ x $)}
\]
\[
y = 4 \quad \text{(Simplify the left side)}
\]

This results in the ordered-pair $(2, 4)$.

4. **Finding More Solutions:**
To find two more solutions, we choose $ x = 0 $ and $ x = -3 $. For any $ x $-value, the $ y $-value must always be 4.

Thus, the ordered pairs are:
\[
(0, 4) \quad \text{and} \quad (-3, 4)
\]

5. **Summary of Ordered Pairs:**
\[
(2, 4), \quad (0, 4), \quad (-3, 4)
\]

6. **Plotting the Points:**
On a graph, plot the points $(2, 4)$, $(0, 4)$, and $(-3, 4)$. Draw a straight line through these points.

- The graph depicts a horizontal line at $ y = 4 $.
- The $ y $-intercept is $ (0, 4) $.
- There is no $ x $-intercept because the line never crosses the $ x $-axis.

### Graph and Table Representation:
The table and graph below summarize the

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