Understanding Slope of a Line
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Beginner
Start here! Easy to understand
Beginner Explanation
The slope $m$ of a line through points $(x_1, y_1)$ and $(x_2, y_2)$ is defined as $m = \frac{y_2 - y_1}{x_2 - x_1}$. It measures how steep the line is: a positive slope rises left to right, a negative slope falls, and zero slope is horizontal.
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Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
What is the slope of a line passing through points $(1, 2)$ and $(3, 6)$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
A skateboard ramp has a height of $4$ feet and a base of $8$ feet. Calculate the slope of the ramp.
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Determine if the slope of a line through $(-2, -1)$ and $(2, 3)$ is positive, negative, or zero.
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4
Challenge Quiz
Single Choice Quiz
Advanced
Calculate the slope of the line passing through $(-3, 5)$ and $(3, -7)$.
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