Slope & Rate of Change

Understand slope as rate of change and learn how to calculate and interpret it in real-world contexts.

8th Grade

Algebra

~45 min

🎮 Interactive Activity: Slope Explorer

Explore different slopes and their meanings!

Slope = 2

🎮 Interactive Activity: Rate of Change Calculator

Calculate rate of change from two points!

Point 1: (0, 0)
Point 2: (5, 25)

1. What is Slope?

Slope measures the steepness and direction of a line. It's the ratio of vertical change (rise) to horizontal change (run).

m = rise / run

m = (y₂ - y₁) / (x₂ - x₁)

2. Calculating Slope

3. Interpreting Slope as Rate of Change

4. Special Slopes

5. Real-World Applications

6. Worked Examples

7. Frequently Asked Questions

Practice Time!

Practice Quiz

Questions

Correct

Score

What is the slope of a line passing through (1, 2) and (4, 8)?

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What does a negative slope indicate?

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If a car travels 120 miles in 2 hours, what is the rate of change?

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What is the slope of a horizontal line?

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What is the slope of a vertical line?

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If y increases by 6 when x increases by 2, what is the slope?

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What is the rate of change if a function goes from (0, 5) to (3, 14)?

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Which line has the steepest positive slope?

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What does slope represent in a distance-time graph?

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If a line has slope -2/3, how do you move from one point to another?

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