Understanding Distance Between Parallel Lines
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Beginner
Start here! Easy to understand
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Beginner Explanation
The distance is simply the length of the perpendicular segment between the lines. Use $d = \frac{|c_2 - c_1|}{\sqrt{a^2 + b^2}}$.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
What is the distance between the lines $6x + 8y = 6$ and $6x + 8y = 26$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
Imagine a situation where two parallel roads are represented by the equations $3x + 4y = 12$ and $3x + 4y = 36$.
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Prove that the distance formula is consistent for any pair of parallel lines.
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4
Challenge Quiz
Single Choice Quiz
Advanced
Find the distance between $2x + 3y = 10$ and $2x + 3y = 22$.
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Recap
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