Type an equation for the following pattern. 7. y=[ ? ]x+[ ] 6. 4 11 5. 13 5. 3.

Algebra and Trigonometry (6th Edition)
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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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### Identifying Linear Patterns

#### Instructions:
Type an equation for the following pattern.

#### Data Table:
The pattern is represented by the following data points for the variables \( x \) and \( y \):

| \( x \) | \( y \) |
|--------|--------|
|   1    |   5    |
|   2    |   7    |
|   3    |   9    |
|   4    |   11   |
|   5    |   13   |

#### Required Equation:
You need to identify the linear equation that matches this pattern. The equation should be in the format:
\[ y = [ ? ]x + [ ] \]

#### Analysis:
Observe the increments in both \( x \) and \( y \). Determine the slope (the rate of change) and the y-intercept (the initial value when \( x = 0 \)).

By finding the relationship between \( x \) and \( y \), you will be able to fill in the blanks with appropriate values to form the linear equation.

--- 
Ensure to replace the placeholders in the equation format with the correct numerical values to complete the pattern.
Transcribed Image Text:### Identifying Linear Patterns #### Instructions: Type an equation for the following pattern. #### Data Table: The pattern is represented by the following data points for the variables \( x \) and \( y \): | \( x \) | \( y \) | |--------|--------| | 1 | 5 | | 2 | 7 | | 3 | 9 | | 4 | 11 | | 5 | 13 | #### Required Equation: You need to identify the linear equation that matches this pattern. The equation should be in the format: \[ y = [ ? ]x + [ ] \] #### Analysis: Observe the increments in both \( x \) and \( y \). Determine the slope (the rate of change) and the y-intercept (the initial value when \( x = 0 \)). By finding the relationship between \( x \) and \( y \), you will be able to fill in the blanks with appropriate values to form the linear equation. --- Ensure to replace the placeholders in the equation format with the correct numerical values to complete the pattern.
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