1. Section 1.4 Lines

2. OBJECTIVE 1

7. Find the slope of the line containing the points ( – 1, 4) and (2, – 3).

8. Adjust the selections for X min, X max, Y min, and Y max by setting the ratio of x to y at 3:2.

11. These figures also illustrate that the closer the line is to the vertical position, the greater the magnitude of the slope.

12. OBJECTIVE 2

13. Draw a graph of the line that contains the point (1, 4) and has a slope of:

14. OBJECTIVE 3

15. Graph the equation x = – 2

17. OBJECTIVE 4

19. Find the equation of a line with slope – 3 and containing the point ( – 1, 4).

20. Find an equation of the horizontal line containing the point ( – 4, – 1).

22. OBJECTIVE 5

23. Find an equation of the line L containing the points ( – 1, 4) and (3, – 1). Graph the line L .

24. OBJECTIVE 6

28. OBJECTIVE 7

29. Find the slope m and y -intercept b of the equation 3 x – 2 y = 6. Graph the equation.

30. OBJECTIVE 8

32. Graph the linear equation 3 x + 2 y = 6 by finding its intercepts.

33. OBJECTIVE 9

36. Find an equation for the line that contains the point (4, – 1) and is parallel to the line – 3 x + 5 y = 1. By hand, graph the two lines.

37. OBJECTIVE 10

40. Find the slope of a line perpendicular to a line with slope .

41. Find an equation of the line that contains the point ( – 4, 6) and is perpendicular to the line 2 x – y = 4. Graph the two lines.