Finding the slope of a line edmodo

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Finding the slope of a line edmodo

  1. 1. POD 7 Jan• Create a slope Circle Map Slope
  2. 2. Definitions of Slope• The tilt, inclination or steepness of a line• The ratio of vertical change (rise) to horizontal change (run).• The change in y (rise) over the change in x (run)
  3. 3. Tilt or Inclination
  4. 4. Vertical Change Horizontal ChangeThis ratio is also known as Rise Run
  5. 5. How many points do you need to draw a line?• One• Two• Three
  6. 6. Graph (3,2) and (-1,-1)
  7. 7. Draw a line through the points.
  8. 8. Now that we have our line lets find its slope.Remember we are finding the following ratio: Vertical or Rise Horizontal Run
  9. 9. Vertical Change or the Rise 3
  10. 10. Horizontal Change or the Run 4 3
  11. 11. Vertical RiseHorizontal Run 3 4
  12. 12. Find the slope of the following line.
  13. 13. The slope is… 1 2
  14. 14. Find the slope of the line.
  15. 15. The slope is…. -3
  16. 16. Find the slope of these lines.
  17. 17. The slope is…• Black line 3• Red Line 1• Blue Line -1/2
  18. 18. Find the slope of these lines
  19. 19. The slope is…• Orange line 0• Green Line Undefined
  20. 20. Slope Intercept Real Life Example 1• Oranges from Florida cost $2 per pound. Let y represent the total cost and x represent the number of pounds of oranges. Create a table, then write a linear equation to find the total cost.• Total cost = $2 times the number of pounds• y = 2x
  21. 21. Florida Oranges• y = 2x• What is the cost for 2 pounds?• 10 pounds?
  22. 22. Slope Intercept Real Life Example 2• Eileen’s limousine service charges a flat fee of $5 plus $10 per hour. Let y represent the total cost and x represent the number of hours. Write a linear equation to find the total cost.• Total cost = $10 times the number of hours + flat fee• y = 10x + 5
  23. 23. Eileen’s Limousine Service• y = 10x + 5• What is the cost for 1 hour?• 4 hours?
  24. 24. Intercepts x-intercept is they-intercept is point the linethe point the meets the x-axisline meets they-axis x-intercept = 7y-intercept = 5
  25. 25. Slope-Intercept Form• Slope-intercept form of an equation assigns meaning to each variable.• y = mx +b• In which m represents slope and b represents your y-intercept.
  26. 26. Slope-intercept y = mx + bSlope y-intercept
  27. 27. Slope-Intercept Form• To graph this equation first find and plot your y-intercept.• Use your slope to locate a second point.• Lastly draw a line through your two points.
  28. 28. slope-intercept equation . . . . y-intercept (b) = -2 .

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