1. 2.1 Lines and Slopes

2. Example 1: Find the Slope

3. Possibilities for a Line’s Slope

5. Example 2: Find the Slope

6. Solution

7. Practice Exercise

8. Answer

9. Point-slope Form of the Equation of a Line

10. Example 3: Writing the Point- Slope Equation of a Line

12. Practice Exercise

13. Answer

14. Example 4: Writing the Point- Slope Equation of a Line

16. Practice Exercises

17. Answers to Practice Exercises

18. The Slope-Intercept Form of the Equation of a Line Y-intercept is b Slope is m

19. Graphing y=mx+b Using the Slope and y-Intercept. Plot the y-intercept on the y-axis. This is the point (0,b). Obtain a second point using the slope, m. Write m as a fraction, and use rise over run starting at the y-intercept to plot this point

20. Graphing y=mx+b Using the Slope and y-Intercept. Use a straightedge to draw a line through the two points. Draw arrowheads at the ends of line to show that the line to show that the line continues indefinitely in both directions.

21. Example 5: Graphing by Using the Slope and y-Intercept

23. Practice Exercises

24. Answers to Practice Exercises

25. Equation of a Horizontal Line Y-intercept is 4

26. Equation of a Vertical Line X-intercept is -5

27. Example 6: Graphing a Horizontal Line Y-intercept is 5.

28. Example 7: Graphing a Vertical Line X-intercept is –5.

29. Practice Exercises

30. Answers to Practice Exercises

31. General Form of the Equation of a Line

32. Equations of Lines

33. Example 8: Finding the Slope and the y-Intercept

35. Practice Exercises

36. Answers to Practice Exercises