Understanding Perpendicular Lines and Slopes
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Beginner
Start here! Easy to understand
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Beginner Explanation
Two lines are perpendicular if they intersect at a 90° angle, which occurs precisely when the product of their slopes satisfies $m₁ × m₂ = -1$.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
What is the slope of a line perpendicular to a line with slope $\frac{1}{3}$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
Imagine you are designing a skateboard ramp. The ramp needs to be perpendicular to a slope of $\frac{1}{4}$. What should be the slope of the support beam?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
If a line with slope $2$ is perpendicular to another line, find the equation of the perpendicular line passing through point $(1, 3)$.
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4
Challenge Quiz
Single Choice Quiz
Advanced
A line passes through $(0, 0)$ with slope $5$. What is the equation of a perpendicular line passing through $(1, 2)$?
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