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)
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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**

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.
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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