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EXPLORING

EXPLORING. SLOPE. Mountains have slopes…. …and so do lines. A skier can go down this slope. When you think of down , you think of negative . This line, like the mountain, has a negative slope. You can also run up the mountain. When you think of up , you think positive .

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EXPLORING

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  1. EXPLORING SLOPE

  2. Mountains have slopes….

  3. …and so do lines.

  4. A skier can go down this slope

  5. When you think of down, you think of negative. This line, like the mountain, has a negative slope

  6. You can also run up the mountain.

  7. When you think of up, you think positive. This line, like the mountain, has a positive slope.

  8. Does this mountain have a slope?? Slope?? This has zero slope!

  9. Horizontal lines have a slope of zero. 0 0 0

  10. What do you think the slope of a vertical line would be ?? This is not a slope; it’s a cliff! The slope of a vertical line is undefined! It has NO slope.

  11. A line that goes down from left to right has what kind of slope??? NEGATIVE

  12. A line that goesupfrom left to right has what kind of slope??? POSITIVE

  13. What kind of line has a slope of zero?? HORIZONTAL

  14. What is the slope of this line?? UNDEFINED

  15. One more time…. + 0 - undefined

  16. Matching. a. undefined + b. - c. 0 d.

  17. Determining the Value of a Slope

  18. Now that you can identify whether a line has a positive or negative slope, let’s learn how to determine the value of the slope. This line has a slope of 1. How do you figure that out?

  19. RISE RUN First, a few facts about slope. Vertical change : y _______________ Horizontal change : x Slope is the ratio of the change in y to the change in x. Or in easy terms, it is RISE divided by RUN. Slope is always represented by the letter m

  20. 2 = 1 2 Look at your line and identify two points between which you can determine the slope. What is the rise? over 2 What is the run? up 2 This gives you the ratio:

  21. 2 3 Let’s try another one. over 3 Choose two points. Count your rise. up 2 Count your run. So the slope is:

  22. 1 1 = - - 2 2 This one is a little different. back 2 Choose two points. Count your rise. Up 1 or +1 up1 Count your run. Back2 or -2 The slope is:

  23. To summarize… If you can count, you can find the slope. 1. Choose two points on the line. 2. Count from the lower point in a vertical direction to where the upper point is. 3. Count right or left to the second point. 4. The slope is the RISE (first distance) divided by the RUN (second distance).

  24. THE END Now it’s time for you to practice what you have learned!

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