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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Question
![**Question:**
What is the slope of the line given, f(0) = -5 and f(4) = 11?
**Options:**
- \( \frac{1}{8} \)
- 0
- -8
- 4
- \( \frac{1}{4} \)
- -4
**Explanation:**
To find the slope of the line passing through the points given by the function f, we use the formula for the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Substitute the given values:
\[ m = \frac{f(4) - f(0)}{4 - 0} = \frac{11 - (-5)}{4} = \frac{16}{4} = 4 \]
Therefore, the slope of the line is 4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6297f146-68ab-4406-b5fc-22d1ba999799%2F8574fc47-9ff6-4ea5-b2d1-abfc5827a042%2F3b0cbb_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
What is the slope of the line given, f(0) = -5 and f(4) = 11?
**Options:**
- \( \frac{1}{8} \)
- 0
- -8
- 4
- \( \frac{1}{4} \)
- -4
**Explanation:**
To find the slope of the line passing through the points given by the function f, we use the formula for the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Substitute the given values:
\[ m = \frac{f(4) - f(0)}{4 - 0} = \frac{11 - (-5)}{4} = \frac{16}{4} = 4 \]
Therefore, the slope of the line is 4.
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