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
![**Find an Equation of the Line**
Objective: Determine an equation of the line passing through the given points using function notation.
**Given Points:**
- Point A: (3, 11)
- Point B: (5, 21)
**Task:**
Use function notation to write the equation of the line.
**Equation Format:**
\[ f(x) = \]
**Instructions:**
1. Calculate the slope (\( m \)) using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1)\) and \((x_2, y_2)\) are the given points.
2. Use the point-slope formula to derive the equation:
\[
y - y_1 = m(x - x_1)
\]
3. Convert the equation into function notation.
**Tools:**
- A text box is available for submitting the answer.
**Time Limit:**
- You have a time remaining of 19 minutes.
**Navigation:**
- Click "Previous" for prior content.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5810e72-fabf-4d8b-9162-e88805f8e941%2F54603b18-b829-49a0-8098-eea5d266fa95%2Fwau0nf0n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Find an Equation of the Line**
Objective: Determine an equation of the line passing through the given points using function notation.
**Given Points:**
- Point A: (3, 11)
- Point B: (5, 21)
**Task:**
Use function notation to write the equation of the line.
**Equation Format:**
\[ f(x) = \]
**Instructions:**
1. Calculate the slope (\( m \)) using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1)\) and \((x_2, y_2)\) are the given points.
2. Use the point-slope formula to derive the equation:
\[
y - y_1 = m(x - x_1)
\]
3. Convert the equation into function notation.
**Tools:**
- A text box is available for submitting the answer.
**Time Limit:**
- You have a time remaining of 19 minutes.
**Navigation:**
- Click "Previous" for prior content.
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