1. Chapter 2
Lines

2. 2.1 Lines in Space
Graphing Lines

3. y 8 7 6 5 ●
(3 , 4) 4 3 2 ●
(-8 , 1) 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
Origin -1 -2 -3 -4 ● -5
(-2 , -5) -6 -7

4. y 8 7
y = 2x + 3 6 5 4 3 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7

5. y = 2x + 3
x y 3
( 0 , 3)

6. y 8 7
y = 2x + 3 6 5 4 ● 3 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7

7. y = 2x + 3
x y 3
( 0 , 3) 2 7
( 2 , 7)

8. y 8 ● 7
y = 2x + 3 6 5 4 ● 3 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7

9. y 8 7
y = -3x + 8 6 5 4 3 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7

10. y = -3x + 8
x y 2 2
( 2 , 2)

11. y 8 7
y = -3x + 8 6 5 4 3 ● 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7

12. y = -3x + 8
x y 2 2
( 2 , 2) 5 -7
( 5 , -7)

13. y 8 7
y = -3x + 8 6 5 4 3 ● 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 ● -7

14. 2.1 Lines in Space
Graphing Lines
Intersection of two lines

15. ● ● ● ● (1 , 5) y 8 y = 2x + 3 7 y = -3x + 8 6 5 4 3 2 1 X -10 -9 -8-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 ● -7

16. y 8 7
y = 3x – 6 6 5 4 3 2 1 ● X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 ● -3 -4 -5 ● -6 -7

17. ● ● ● y 8 y = -2x + 9 7 y = 3x – 6 6 5 4 3 (3 , 3) 2 1 X -10 -9 -8 -7-6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7

18. Problem Solving with Lines
Wade and Brent are in a race. Wade is extremely confident and gives Brent a 20 meter head start. The race is 100 meters. Wade can run 8 meters per second. Brent can run 6 meters per second. Who will win the race? By how much?

19. meters ●
(10, 80) ● ● ● ● ● ● ● ●
seconds

21. 2.2 Equations of Lines

22. y 8 7
y = 2x + 3 6 ● 5 4 ● 3 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7

23. y 8 7
y = -3 x + 5 6 2 ● 5 4 3 ● 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7

24. y 8 7 6 ● 5 4 ● 3 2 ● 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7

25. y 8 7 6 5 ● 4 3 2 ● 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 ● -2 -3 -4 -5 -6 -7

26. y 8 ● 7 6 5 4 3 ● 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
Origin -1 -2 -3 -4 -5 -6 -7

27. y 8 7 6 5 ● 4 3 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
Origin -1 -2 -3 -4 -5 -6 ● -7

28. y 8 7 6 5 4 3 ● 2 1 ● X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
Origin -1 -2 -3 -4 -5 -6 -7

29. 2.3 Parallel and Perpendicular Lines

30. y 8 7 6 5 ● 4 ● 3 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
Origin ● -1 -2 -3 -4 -5 -6 -7

31. y 8 7 6 5 4 3 ● 2 1 X
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
Origin -1 -2 -3 -4 ● -5 ● -6 -7