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Master

Distance Between Parallel Lines

Master distance between parallel lines with interactive lessons and practice problems! Designed for students like you!

Understanding Distance Between Parallel Lines

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Video explanation of this concept

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Beginner

Start here! Easy to understand

Now showing Beginner level explanation.

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

Test your understanding with practice problems

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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Review key concepts and takeaways