Exploring Slopes in Graphs and Functions


Exploration

GR. 9-12

Skill:

Determine the effects of changes in slope and/or intercepts on graphs and equations of lines.

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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.

Question ouverte 1

How do the signs of the rise and run affect the graph of the line?

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Question ouverte 2

How does the steepness of the line change when the rise gets closer to 0? When the run approaches 0?

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Question ouverte 3

What happens when the rise is 0?

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Question ouverte 4

Why does a vertical line have an “undefined slope”?

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Question ouverte 5

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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