1 The slope is -5 ype an integer or a simplified fraction.) e y-intercept is (0,4) ype an ordered pair. Type an integer or a simplified fraction.) ne x-intercept is (20,0) . ype an ordered pair. Type an integer or a simplified fraction.) The equation that defines f is f(x) =

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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**Graph Analysis and Equation Derivation of Linear Functions**

**The graph of a linear function \( f \) is shown.**

### (a) Identify the slope, y-intercept, and x-intercept.
- **The slope is** \( -\frac{1}{5} \).

  _(Type an integer or a simplified fraction.)_

- **The y-intercept is** \( (0, 4) \).

  _(Type an ordered pair. Type an integer or a simplified fraction.)_

- **The x-intercept is** \( (20, 0) \).

  _(Type an ordered pair. Type an integer or a simplified fraction.)_

### (b) Write the equation that defines \( f \).
**The equation that defines \( f \) is** \( f(x) = \).

_(Type your answer in slope-intercept form. Use integers or simplified fractions for any numbers in the expression.)_

---

If there are any graphs or diagrams, they should be described in detail here:

- **Graph/Diagram Description:** Not provided in the current context, but generally would involve noting key points like intercepts, slope, and any specific features or labels present on the graph for better understanding.

This content is intended for educational purposes to help students and educators in learning and teaching the concept of linear functions, their graphical representation, and the derivation of the equation from given parameters.
Transcribed Image Text:**Graph Analysis and Equation Derivation of Linear Functions** **The graph of a linear function \( f \) is shown.** ### (a) Identify the slope, y-intercept, and x-intercept. - **The slope is** \( -\frac{1}{5} \). _(Type an integer or a simplified fraction.)_ - **The y-intercept is** \( (0, 4) \). _(Type an ordered pair. Type an integer or a simplified fraction.)_ - **The x-intercept is** \( (20, 0) \). _(Type an ordered pair. Type an integer or a simplified fraction.)_ ### (b) Write the equation that defines \( f \). **The equation that defines \( f \) is** \( f(x) = \). _(Type your answer in slope-intercept form. Use integers or simplified fractions for any numbers in the expression.)_ --- If there are any graphs or diagrams, they should be described in detail here: - **Graph/Diagram Description:** Not provided in the current context, but generally would involve noting key points like intercepts, slope, and any specific features or labels present on the graph for better understanding. This content is intended for educational purposes to help students and educators in learning and teaching the concept of linear functions, their graphical representation, and the derivation of the equation from given parameters.
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