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How to Determine ‘a’ for Parallel & Perpendicular Lines

2.7K views· 67 likes· 9:46· Oct 19, 2025

Unlock the secrets of parallel and perpendicular lines! In this video, you'll learn how to find the value of 'a' that makes two lines either parallel or perpendicular. We'll work through three detailed examples, starting with equations not in slope-intercept form. Discover how to rearrange equations to identify the slope, and then apply the rules for parallel lines (same slope) and perpendicular lines (opposite reciprocals). Master techniques like cross-multiplication and understand how to handle different equation formats. Perfect for anyone studying linear equations and geometry!" Timestamps: 0:00:00 Introduction to Parallel and Perpendicular Lines 0:00:46 Rearranging Equations to Find Slope 0:01:40 Solving for 'a' for Parallel Lines 0:02:45 Solving for 'a' for Perpendicular Lines 0:03:30 Second Example: Finding 'a' for Parallel and Perpendicular Lines 0:03:45 Rearranging Equations (Example 2) 0:05:18 Solving for 'a' for Parallel Lines (Example 2) 0:06:12 Solving for 'a' for Perpendicular Lines (Example 2) 0:07:34 Third Example: Finding 'a' for Parallel and Perpendicular Lines 0:08:12 Rearranging Equations (Example 3) 0:09:40 Solving for 'a' for Parallel Lines (Example 3) 0:10:35 Solving for 'a' for Perpendicular Lines (Example 3) ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join

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