Slopes of Parallel and Perpendicular Lines | Algebra

Master the Slopes of Parallel and Perpendicular Lines! 📏 In this tutorial, we dive deep into the relationship between the slopes of different lines. We explain the fundamental rules: parallel lines have equal slopes (m1 = m2), while perpendicular lines have slopes that are negative reciprocals of each other (m1 * m2 = -1). Through step-by-step examples, we learn how to calculate slopes from points, transform equations into slope-intercept form (y = mx + b), and determine the geometric relationship between lines. We also cover special cases like horizontal and vertical lines! What you will learn in this video: • The core definitions of parallel and perpendicular lines. • How to use the slope formula: m = (y2 - y1) / (x2 - x1). • Converting general equations to slope-intercept form to find the slope. • Identifying perpendicularity through negative reciprocals. • Identifying horizontal (y = c) and vertical (x = c) lines. Video Chapters 🕒 0:00 - Intro: Rules for Parallel and Perpendicular Slopes 2:12 - Problem 1: Line 1 through (-2, 2), (0, -1) and Line 2 through (-4, -1), (2, 3) 6:09 - Problem 2: Line 1 through (1, 2), (4, -3) and Line 2 through (-4, 3), (-1, -2) 9:27 - Problem 3: Comparing 3x - 5y = 15 and 5x + 3y = 9 11:56 - Problem 4: Comparing y = 2x + 1 and 4y - 8x = 12 13:14 - Problem 5: Comparing 3x - 4y = 4 and 4x - 3y = -3 15:18 - Problem 6: Comparing y - 10 = 0 and x - 10 = 0 16:31 - Problem 7: Comparing y + 2 = 0 and 2y - 10 = 0 17:41 - Problem 8: Finding a slope perpendicular to 3x - 7y = 21 If this video helped you, please give it a LIKE and SUBSCRIBE for more math tutorials! 🔔 #ParallelLines #PerpendicularLines #Algebra #IskolarTV #MathTutorial #SlopeFormula #LinearEquations #STEM #Education #MathHelp