Chapter3: Graphs And Functions
Section3.3: Find The Equation Of A Line
Problem 3.61TI: Find an equation of a line perpendicular to the line y=3x+1 that contains the point (4,2) . Write...
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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:**
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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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