Find an equation of the line passing through the given points. Use function notation to write the equatio. (3,11) and (5,21) ..... f(X) =

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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**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.
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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