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Slope

Slope. By the end of this unit:. You will be able to demonstrate that you have developed the ability to:. Derive the equation y = mx + b for a line given two distinct non-vertical points (8.EE.5).

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Slope

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  1. Slope

  2. By the end of this unit: You will be able to demonstrate that you have developed the ability to:

  3. Derive the equation y = mx + b for a line given two distinct non-vertical points (8.EE.5)

  4. Derive the equation y = mx + b for line through the origin and the equation y = mx + b for a line intersecting the vertical axis at b (8.EE.6)

  5. Explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane using similar triangles (8.EE.6)

  6. Slope of a Line: In skiing, slope refers to a slanted mountain side. The steeper the slope is, the higher its difficulty rating will be. In math, slope defines the “slant” of a line. The larger the absolute value of the slope is, the “steeper”, or more vertical the line will be.

  7. Slope Notes

  8. Linear Equations: • Linear equations have constant slope • For a line on a coordinate plane, to find the slope we use the ratio: rise over run

  9. Rise is the number of units • moved up or down • Run is the number of units • moved right or left

  10. Slope can be… positive negative zero undefined

  11. Mr. Slope https://www.youtube.com/watch?feature=player_embedded&v=JLxA2v0pjKY

  12. The slope is… positive

  13. The slope is… negative

  14. The slope is… zero

  15. The slope is… undefined

  16. SLOPE FOLDABLE

  17. Exploring Slope - Climbing Stairs

  18. Using Slope and Intercepts

  19. X – Intercept • Where the line crosses the x-axis • Y = 0

  20. y – Intercept • Where the line crosses the y-axis • X = 0

  21. Slope Intercept Form

  22. Slope Intercept Form Foldable http://mathequalslove.blogspot.com/2012/11/new-ymxb-foldable.html

  23. Slope Intercept Form Y = mx + b Y-intercept slope

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