Which best represents y x-1? y 3 2 6. 4

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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### Educational Content on Linear Equations

**Question:**
Which best represents \( y = x - 1 \)?

**Options:**

1. **Data Table 1:**
   \[
   \begin{array}{|c|c|}
   \hline
   x & y \\
   \hline
   0 & 1 \\
   \hline
   1 & 0 \\
   \hline
   \end{array}
   \]

2. **Data Table 2:**
   \[
   \begin{array}{|c|c|}
   \hline
   x & y \\
   \hline
   3 & 2 \\
   \hline
   6 & 4 \\
   \hline
   \end{array}
   \]

3. **Graph 1:**
   ![Graph 1](graph1.png)
   - This graph shows a straight line passing through the points (-2, -3), (1, 0), (3, 2), etc.
   - The line has a positive slope and moves upwards from the left to the right.

4. **Graph 2:**
   ![Graph 2](graph2.png)
   - This graph shows a straight line passing through the points (-2, -3), (0, -1), (3, 2), etc.
   - The line also has a positive slope, similar to the first graph, and moves upwards from the left to the right.

**Explanation:**

To find out which option best represents the equation \( y = x - 1 \):

1. **Data Table Verification:**
    - Substitute \(x\) values into \( y = x - 1 \).
      - For Data Table 1:
        - When \( x = 0 \), \( y = 0 - 1 = -1 \) (but table shows \( y = 1 \)).
        - When \( x = 1 \), \( y = 1 - 1 = 0 \) (correct).
      - For Data Table 2:
        - When \( x = 3 \), \( y = 3 - 1 = 2 \) (correct).
        - When \( x = 6 \), \( y = 6 - 1 = 5 \) (but table shows \(
Transcribed Image Text:### Educational Content on Linear Equations **Question:** Which best represents \( y = x - 1 \)? **Options:** 1. **Data Table 1:** \[ \begin{array}{|c|c|} \hline x & y \\ \hline 0 & 1 \\ \hline 1 & 0 \\ \hline \end{array} \] 2. **Data Table 2:** \[ \begin{array}{|c|c|} \hline x & y \\ \hline 3 & 2 \\ \hline 6 & 4 \\ \hline \end{array} \] 3. **Graph 1:** ![Graph 1](graph1.png) - This graph shows a straight line passing through the points (-2, -3), (1, 0), (3, 2), etc. - The line has a positive slope and moves upwards from the left to the right. 4. **Graph 2:** ![Graph 2](graph2.png) - This graph shows a straight line passing through the points (-2, -3), (0, -1), (3, 2), etc. - The line also has a positive slope, similar to the first graph, and moves upwards from the left to the right. **Explanation:** To find out which option best represents the equation \( y = x - 1 \): 1. **Data Table Verification:** - Substitute \(x\) values into \( y = x - 1 \). - For Data Table 1: - When \( x = 0 \), \( y = 0 - 1 = -1 \) (but table shows \( y = 1 \)). - When \( x = 1 \), \( y = 1 - 1 = 0 \) (correct). - For Data Table 2: - When \( x = 3 \), \( y = 3 - 1 = 2 \) (correct). - When \( x = 6 \), \( y = 6 - 1 = 5 \) (but table shows \(
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