Exploring Slopes in Graphs and Functions

Exploring Slopes in Graphs and Functions

Explore the effects of changes in slope on graphs and equations of lines.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

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

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Open-ended question 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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Open-ended question 3

What happens when the rise is 0?

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Open-ended question 4

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

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Open-ended question 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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