**Mathematics Exercise: Understanding Graphs and Equations** **Instructions:** 1. If the point (2, 1) is on the graph of an equation in \( x \) and \( y \), then the equation is satisfied when we replace \( x \) by ______ and \( y \) by ______. 2. Is the point (2, 1) on the graph of the equation \( 2y = x + 9 \)? - Yes - No **Table Completion:** Complete the table based on the given equation: | \( x \) | \( y \) | \( (x, y) \) | |---------|---------|------------| | -2 | | (\( -2, \_\_\_ \)) | | -1 | | (\( -1, \_\_\_ \)) | | 0 | | (\( 0, \_\_\_ \)) | | 1 | | (\( 1, \_\_\_ \)) | | 2 | | (\( 2, \_\_\_ \)) | **Explanation:** - The exercise is designed to test your understanding of how points fit on the graph of a linear equation. - You are required to determine values of \( y \) that satisfy the equation for corresponding \( x \) values and fill the table accordingly.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Mathematics Exercise: Understanding Graphs and Equations**

**Instructions:**

1. If the point (2, 1) is on the graph of an equation in \( x \) and \( y \), then the equation is satisfied when we replace \( x \) by ______ and \( y \) by ______.

2. Is the point (2, 1) on the graph of the equation \( 2y = x + 9 \)?

   - Yes
   - No

**Table Completion:**

Complete the table based on the given equation:

| \( x \) | \( y \) | \( (x, y) \) |
|---------|---------|------------|
| -2      |         | (\( -2, \_\_\_ \)) |
| -1      |         | (\( -1, \_\_\_ \)) |
| 0       |         | (\( 0, \_\_\_ \)) |
| 1       |         | (\( 1, \_\_\_ \)) |
| 2       |         | (\( 2, \_\_\_ \)) |

**Explanation:**

- The exercise is designed to test your understanding of how points fit on the graph of a linear equation.
- You are required to determine values of \( y \) that satisfy the equation for corresponding \( x \) values and fill the table accordingly.
Transcribed Image Text:**Mathematics Exercise: Understanding Graphs and Equations** **Instructions:** 1. If the point (2, 1) is on the graph of an equation in \( x \) and \( y \), then the equation is satisfied when we replace \( x \) by ______ and \( y \) by ______. 2. Is the point (2, 1) on the graph of the equation \( 2y = x + 9 \)? - Yes - No **Table Completion:** Complete the table based on the given equation: | \( x \) | \( y \) | \( (x, y) \) | |---------|---------|------------| | -2 | | (\( -2, \_\_\_ \)) | | -1 | | (\( -1, \_\_\_ \)) | | 0 | | (\( 0, \_\_\_ \)) | | 1 | | (\( 1, \_\_\_ \)) | | 2 | | (\( 2, \_\_\_ \)) | **Explanation:** - The exercise is designed to test your understanding of how points fit on the graph of a linear equation. - You are required to determine values of \( y \) that satisfy the equation for corresponding \( x \) values and fill the table accordingly.
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