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Discovering Slope: Interactive Learning on Graphing and Examples

Dive into the world of slopes with this interactive movie clip where you will explore various examples of slope. Graph different linear equations, analyze their slopes, and compare graphs to enhance your understanding. Through investigations and explanations, learn how the coefficient affects the slope and discover the similarities and differences between graphs of y=x and y=-x. Work through examples and practice finding slopes to solidify your knowledge. Visit the link provided for a hands-on slope exploration activity.

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Discovering Slope: Interactive Learning on Graphing and Examples

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  1. Exploring Slope

  2. Movie Clip Try to find as many examples of slope as you can in the following clip. Be prepared to share your ideas.

  3. Investigation 1. • Graph y = x, y = 2x, and y = 3x on one coordinate plane. • How does the graph of y = kx change as k, the coefficient of x, increases?

  4. Investigation (continued) • a. Graph y = x and y = -x on the same coordinate plane. b. How are the graphs of y = x and y= -x alike? Different?

  5. Slope Slope – the steepness of a line. Slope = rise = subtract the y’s run subtract the x’s

  6. Example 1 Find the slope of each line. a)

  7. b)

  8. Example 2 Find the slope of the line through C(-2, 6) and D(4, 3).

  9. Example 3 Find the slope of each line. a)

  10. b)

  11. Exploring Slope http://www.shodor.org/interactivate/activities/slopeslider/?version=1.5.0_09&browser=MSIE&vendor=Sun_Microsystems_Inc.

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