Parallel & Perpendicular Lines: Slope Rules Made Simple

Описание: 📓 Interactive Notebook: https://ludium.ai/courses/calculus-1/...

How can you instantly write the equation of a line parallel or perpendicular to another? It all comes down to one number: the slope. In this video, you'll learn the simple rules that connect parallel and perpendicular lines, and how to use point-slope form to find equations quickly.

📚 Key concepts covered:
• Parallel lines share identical slopes—same steepness, same direction, never intersect
• Perpendicular lines have negative reciprocal slopes (flip the fraction, change the sign)
• How to verify perpendicular slopes multiply to -1
• Using point-slope form y - y₁ = m(x - x₁) to build equations
• Step-by-step examples finding parallel and perpendicular lines through a given point
• Common mistakes to avoid when finding negative reciprocals

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📖 ORIGINAL SOURCE
This video distills concepts from educational content on linear equations and slope relationships.
Source:    • Calculus 1 Lecture 0.1:  Lines, Angle of I...  
All credit to the original creator for the foundational material.

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