Exploring Slopes in Graphs and Functions

Explore the effects of changes in slope on graphs and equations of lines.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
How do the signs of the rise and run affect the graph of the line?
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How does the steepness of the line change when the rise gets closer to 0? When the run approaches 0?
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What happens when the rise is 0?
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Why does a vertical line have an “undefined slope”?
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Set the sliders for both the rise and the run to 0. What do you notice? How can you explain these results?
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Information: Exploring Slopes in Graphs and Functions