Скачать или смотреть Parallel and Perpendicular Lines | Find the Slope and Write the Equation

📚 Learn How to Identify and Write Equations for Parallel and Perpendicular Lines! In this video, you'll learn how to:
✔ Understand how slopes determine the relationship between lines
✔ Write the equation of a line parallel to a given line
✔ Write the equation of a line perpendicular to a given line
✔ Determine if two lines are parallel, perpendicular, or neither

We walk through step-by-step examples using point-slope form and discuss how to recognize slope relationships from equations written in standard form or slope-intercept form.

🔍 What You’ll Learn in This Video:
✅ Slopes of Parallel and Perpendicular Lines:
✔ Parallel lines have the same slope
✔ Perpendicular lines have opposite reciprocal slopes (e.g., m = 2 → perpendicular slope = -½)

✅ How to Write the Equation of a Line Given a Point and a Line:
✔ Use point-slope form: y - y₁ = m(x - x₁)
✔ For parallel lines: use the same slope as the given line
✔ For perpendicular lines: use the negative reciprocal of the slope

📊 Examples Covered in This Video:
✔ Find an equation of a line through (1, 2) parallel to 2x - y = 3
✔ Find an equation of a line through (1, −6) parallel to x + 2y = 6
✔ Find an equation of a line through (1, 2) perpendicular to 2x - y = 3
✔ Find an equation of a line through (-2, 2) perpendicular to 3x + y =4
✔ Determine if two lines are parallel, perpendicular, or neither:
 • y = 2x + 3 and 2y − 4x = 5
 • −3x + 4y = 4 and 4x + 3y = 5
 • 7x − 3y = 2 and 21x + 9y = 1

By the end of this video, you’ll be able to:
✔ Recognize slope relationships between two lines
✔ Write equations of parallel and perpendicular lines
✔ Use slope and point-slope form to model linear relationships

📥 Download Free Guided Notes!
Follow along and complete each example as you watch:
👉 https://www.understandthemath.com/alg...

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Timestamps
00:00 Introduction
00:33 Slope of Parallel and Perpendicular Lines
01:37 Examples - Equation of a Line Parallel to a Given Line
07:24 Examples - Equation of a Line Perpendicular to a Given Line
13:37 Examples - Determine if Two Lines are Parallel, Perpendicular, or Neither

More About Understand The Math
Understand The Math offers clear, accessible, and engaging mathematics instruction for students and lifelong learners. I'm Cheryl Hile, the founder of Understand The Math, with a Ph.D. in Engineering Science and Applied Mathematics and over 25 years of university teaching experience. My goal is to provide accurate, high-quality math instruction through step-by-step explanations and carefully worked-out examples.

Each video includes free guided notes, linked in the description. These notes help students follow along, highlight key concepts, and practice problems, making review easier and more effective.

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