Consider the line y=-6x +1. Find the equation of the line that is perpendicular to this line and passes through the point (-4, 3). Find the equation of the line that is parallel to this line and passes through the point (-4, 3). Equation of perpendicular line: Equation of parallel line: 0 X ローロ Ś

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,...
Question
**Title: Writing Equations of Lines Parallel and Perpendicular to a Given Line**

**Objective:** Learn how to find the equations of lines that are parallel and perpendicular to a given line.

**Given Line:**  
\( y = -6x + 1 \)

**Task 1:** Find the equation of the line that is **perpendicular** to the given line and passes through the point \((-4, 3)\).

**Task 2:** Find the equation of the line that is **parallel** to the given line and passes through the point \((-4, 3)\).

**Interactive Input:**  
- **Equation of Perpendicular Line:** [Input Box]
- **Equation of Parallel Line:** [Input Box]

**Controls:**  
- **Explanation Button:** Provides a detailed explanation of the solution.
- **Check Button:** Submits your answers to check for correctness.

**Instructions:**  
- Use the slope-intercept form \( y = mx + b \) for the equations.
- For the perpendicular line, use the negative reciprocal of the slope of the given line.
- For the parallel line, use the same slope as the given line.

© 2022 McGraw Hill LLC. All Rights Reserved.
Transcribed Image Text:**Title: Writing Equations of Lines Parallel and Perpendicular to a Given Line** **Objective:** Learn how to find the equations of lines that are parallel and perpendicular to a given line. **Given Line:** \( y = -6x + 1 \) **Task 1:** Find the equation of the line that is **perpendicular** to the given line and passes through the point \((-4, 3)\). **Task 2:** Find the equation of the line that is **parallel** to the given line and passes through the point \((-4, 3)\). **Interactive Input:** - **Equation of Perpendicular Line:** [Input Box] - **Equation of Parallel Line:** [Input Box] **Controls:** - **Explanation Button:** Provides a detailed explanation of the solution. - **Check Button:** Submits your answers to check for correctness. **Instructions:** - Use the slope-intercept form \( y = mx + b \) for the equations. - For the perpendicular line, use the negative reciprocal of the slope of the given line. - For the parallel line, use the same slope as the given line. © 2022 McGraw Hill LLC. All Rights Reserved.
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