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,...
Related questions
Question
100%
![### Lesson: Plotting Linear Equations
#### Step 1: Complete the Chart and Plot Points
**Equation**:
\[ 3x - 2y = 12 \]
**Chart**:
| x | y | (x, y) |
|---|----|--------|
| 0 | -1 | (0, -1) |
| 2 | | |
#### Calculation to Complete the Chart:
To find the value of \( y \) when \( x = 2 \):
\[
3(2) - 2y = 12
\]
\[
6 - 2y = 12
\]
\[
-2y = 6
\]
\[
y = -3
\]
So, when \( x = 2 \), \( y = -3 \).
The completed chart is:
| x | y | (x, y) |
|---|-----|----------|
| 0 | -1 | (0, -1) |
| 2 | -3 | (2, -3) |
#### Step 2: Graph the Linear Equation
- **Grid**: The provided grid has an x-axis and a y-axis, with each axis ranging from -5 to 5.
- **Plot Points**:
- The first point is (0, -1).
- The second point is (2, -3).
**Instructions**:
1. Locate the first point (0, -1) on the graph. On the x-axis, go to 0, and on the y-axis, go down to -1.
2. Locate the second point (2, -3) on the graph. From the origin, move right to 2 on the x-axis and then go down to -3 on the y-axis.
3. Draw a straight line through these two points. This line represents the linear equation \( 3x - 2y = 12 \).
#### Step 3: Graph the Linear Equation \( y = 3 \)
This is a horizontal line where y is always equal to 3, regardless of the value of x.
1. Locate y = 3 on the y-axis.
2. Draw a straight line parallel to the x-axis passing through y = 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadaf492b-253f-4d8c-b0e9-8fd15c842032%2F8c9900b1-306d-4217-bc9e-700b140b8699%2Fye9bxz6.jpeg&w=3840&q=75)
Transcribed Image Text:### Lesson: Plotting Linear Equations
#### Step 1: Complete the Chart and Plot Points
**Equation**:
\[ 3x - 2y = 12 \]
**Chart**:
| x | y | (x, y) |
|---|----|--------|
| 0 | -1 | (0, -1) |
| 2 | | |
#### Calculation to Complete the Chart:
To find the value of \( y \) when \( x = 2 \):
\[
3(2) - 2y = 12
\]
\[
6 - 2y = 12
\]
\[
-2y = 6
\]
\[
y = -3
\]
So, when \( x = 2 \), \( y = -3 \).
The completed chart is:
| x | y | (x, y) |
|---|-----|----------|
| 0 | -1 | (0, -1) |
| 2 | -3 | (2, -3) |
#### Step 2: Graph the Linear Equation
- **Grid**: The provided grid has an x-axis and a y-axis, with each axis ranging from -5 to 5.
- **Plot Points**:
- The first point is (0, -1).
- The second point is (2, -3).
**Instructions**:
1. Locate the first point (0, -1) on the graph. On the x-axis, go to 0, and on the y-axis, go down to -1.
2. Locate the second point (2, -3) on the graph. From the origin, move right to 2 on the x-axis and then go down to -3 on the y-axis.
3. Draw a straight line through these two points. This line represents the linear equation \( 3x - 2y = 12 \).
#### Step 3: Graph the Linear Equation \( y = 3 \)
This is a horizontal line where y is always equal to 3, regardless of the value of x.
1. Locate y = 3 on the y-axis.
2. Draw a straight line parallel to the x-axis passing through y = 3.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education