Graph the linear equation. Line 6 Undo A Redo x Reset Grade 8: MRL>Chapter 4>Section 4,1: Graphing Linear Equations>Exercises: 1-33> Question #25 interms ve for y. y- 3%. = 1 -1 1. -p-
Graph the linear equation. Line 6 Undo A Redo x Reset Grade 8: MRL>Chapter 4>Section 4,1: Graphing Linear Equations>Exercises: 1-33> Question #25 interms ve for y. y- 3%. = 1 -1 1. -p-
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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Question
![**Graphing Linear Equations**
In this exercise, you are asked to graph the linear equation. The equation provided is:
\[ y - 3x = 1 \]
**Steps to Solve for \( y \):**
1. Start with the equation: \( y - 3x = 1 \)
2. Solve for \( y \) by isolating it on one side:
\[ y = 3x + 1 \]
**Plot the Line on the Graph:**
Use the table of values to find points on the line. Here are the x-values given and how to calculate corresponding y-values:
- For \( x = -1 \):
\[ y = 3(-1) + 1 = -3 + 1 = -2 \]
- For \( x = 0 \):
\[ y = 3(0) + 1 = 0 + 1 = 1 \]
- For \( x = 1 \):
\[ y = 3(1) + 1 = 3 + 1 = 4 \]
**Table of Values:**
\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-1 & -2 \\
0 & 1 \\
1 & 4 \\
\hline
\end{array}
\]
**Graph Explanation:**
- The graph is a standard Cartesian coordinate plane with x and y axes.
- The instructions indicate plotting using the points (-1, -2), (0, 1), and (1, 4) to draw the line representing the equation.
- Ensure the line is straight and extends in both directions beyond these points.
**Additional Features:**
- Buttons like "Undo," "Redo," and "Reset" provide flexibility while graphing.
- This exercise is suitable for Grade 8, Chapter 4, Section 4.1 on Graphing Linear Equations, Exercise Question #25.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F797dc8e7-34bf-4ddf-be4a-57a16dba5411%2Fc7778c83-b581-49f0-9f70-8a62185e4ea1%2Fbxxq6yt_processed.png&w=3840&q=75)
Transcribed Image Text:**Graphing Linear Equations**
In this exercise, you are asked to graph the linear equation. The equation provided is:
\[ y - 3x = 1 \]
**Steps to Solve for \( y \):**
1. Start with the equation: \( y - 3x = 1 \)
2. Solve for \( y \) by isolating it on one side:
\[ y = 3x + 1 \]
**Plot the Line on the Graph:**
Use the table of values to find points on the line. Here are the x-values given and how to calculate corresponding y-values:
- For \( x = -1 \):
\[ y = 3(-1) + 1 = -3 + 1 = -2 \]
- For \( x = 0 \):
\[ y = 3(0) + 1 = 0 + 1 = 1 \]
- For \( x = 1 \):
\[ y = 3(1) + 1 = 3 + 1 = 4 \]
**Table of Values:**
\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-1 & -2 \\
0 & 1 \\
1 & 4 \\
\hline
\end{array}
\]
**Graph Explanation:**
- The graph is a standard Cartesian coordinate plane with x and y axes.
- The instructions indicate plotting using the points (-1, -2), (0, 1), and (1, 4) to draw the line representing the equation.
- Ensure the line is straight and extends in both directions beyond these points.
**Additional Features:**
- Buttons like "Undo," "Redo," and "Reset" provide flexibility while graphing.
- This exercise is suitable for Grade 8, Chapter 4, Section 4.1 on Graphing Linear Equations, Exercise Question #25.
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