1. Write linear equations from tables by identifying the rate of change and the initial value

2. Linear equations can be used to show relationships between data

3. Linear equations can be used to show relationships between data and to make predictions

4. Rate of Change Also called slope

5. Rate of Change Also called slope

6. Rate of Change Also called slope

7. Rate of Change In linear functions, this change is constant.

8. Slope: Change in y Change in x

9. y-intercept Also called “initial value”

12. xyRate of Change 4.5 05 15.5 26 36.5

14. xyRate of Change 4.5 05 15.5 26 36.5

15. xyRate of Change 4.5 05 15.5 26 36.5

16. xyRate of Change 4.5 05 15.5 26 36.5

18. xyRate of Change -28.5 211.5 413 715.25

20. xyRate of Change -28.5 211.5 413 715.25

21. xyRate of Change -28.5 211.5 413 715.25

22. xyRate of Change -28.5 211.5 413 715.25

23. xyRate of Change -28.5 211.5 413 715.25

24. xyRate of Change -28.5 211.5 413 715.25

25. xyRate of Change -28.5 211.5 413 715.25

26. xyRate of Change -28.5 211.5 413 715.25

27. A candle is 6 inches tall after burning for 1 hour. After burning for 3 hours, it is 5 inches tall. After burning for 4 hours it is 4½ inches tall. Find the initial height, and write an equation to model the situation.

28. X Number of hours Y Height in inches Rate of Change 0 16 2 35 44½

29. X Number of hours Y Height in inches Rate of Change 0 16 2 35 44½

30. X Number of hours Y Height in inches Rate of Change 0 16 2 35 44½

31. X Number of hours Y Height in inches Rate of Change 0 16 2 35 44½

32. X Number of hours Y Height in inches Rate of Change 0 16 2 35 44½

33. Write linear equations from tables by identifying the rate of change and the initial value