1. Lines and Slopes

2. Example 1: Find the Slope

3. Possibilities for a Line’s Slope

4. 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
Write the point-slope form of the equati on
of the line passing through (1,3) with a
slope
of 4. Then solve the equation for . y

12. Practice Exercise

13. Answer

14. Practice Exercises 1. Write the point-slope form of the equ ation
of the line passing through (4,-1) with a
slope
of 8. Then solve the equation for . y
2. Write the point-slope form of the equ
ation
of the line passing through the points (
2,0)
and (0,2). Then solve the equation for . y -

15. Answers to Practice Exercises

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

17. 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

18. 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.

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

20. First use the -intercept 2, to
plot the point (0,2). Starting
at (0,2), move 3 units up and
1 unit to the right. This gives
us the second point of the line.
Use a straightedge to draw a
line through the tw y
o points.

21. Practice Exercises

22. Answers to Practice Exercises

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

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

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

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

27. Practice Exercises

28. Answers to Practice Exercises

29. General Form of the Equation of a Line

30. Equations of Lines

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

33. Practice Exercises

34. Answers to Practice Exercises

35. Answers to Practice Exercises