Lynn Marecek; MaryAnne Anthony-Smith; Andrea Honeycutt Mathis

Be Prepared

11.1

$2$

11.2

$16$

11.3

$5$

11.4

$- 1$

11.5

$y = \frac{20 - 5 x}{2}$

11.6

$- 9$

11.7

$- 4$

11.8

$y -axis$

11.9

b

11.10

$- \frac{1}{2}$

11.11

$0, undefined$

11.12

$- 5, - 5, 5$

Try It

11.1

ⓐ 1C
ⓑ Engineering Building

11.2

ⓐ 1A
ⓑ Library

11.3

11.4

11.5

(a) Quadrant II, (b) Quadrant III, (c) Quadrant IV, (d) Quadrant II

11.6

(a) Quadrant II, (b) Quadrant II, (c) Quadrant IV, (d) Quadrant II

11.7

11.8

11.9

11.10

11.11

A: (5,1)
B: (−2,4)
C: (−5,−1)
D: (3,−2)

11.12

A: (4,2)
B: (−2,3)
C: (−4,−4)
D: (3,−5)

11.13

A: (4,0)
B: (0,3)
C: (−3,0)
D: (0,−5)

11.14

A: (−3,0)
B: (0,−3)
C: (5,0)
D: (0,2)

11.15

ⓐ , ⓒ

11.16

ⓑ , ⓒ

11.17

ⓑ

11.18

ⓐ , ⓑ

11.19

$y = 3 x - 1$
$x$	$y$	$(x, y)$
$0$	$−1$	$(0, −1)$
$−1$	$−4$	$(−1, −4)$
$2$	$5$	$(2, 5)$

11.20

$y = 6 x + 1$
$x$	$y$	$(x, y)$
$0$	$1$	$(0, 1)$
$1$	$7$	$(1, 7)$
$−2$	$−11$	$(−2, −11)$

11.21

$2 x - 5 y = 20$
$x$	$y$	$(x, y)$
$0$	$−4$	$(0, −4)$
$10$	$0$	$(10, 0)$
$−5$	$−6$	$(−5, −6)$

11.22

$3 x - 4 y = 12$
$x$	$y$	$(x, y)$
$0$	$−3$	$(0, −3)$
$4$	$0$	$(4, 0)$
$−4$	$−6$	$(−4, −6)$

11.23

Answers will vary.

11.24

Answers will vary.

11.25

Answers will vary.

11.26

Answers will vary.

11.27

Answers will vary.

11.28

Answers will vary.

11.29

ⓐ yes ⓑ yes
ⓐ no ⓑ no
ⓐ no ⓑ no
ⓐ yes ⓑ yes

11.30

11.31

11.32

11.33

11.34

11.35

11.36

11.37

11.38

11.39

11.40

11.41

11.42

11.43

11.44

x-intercept (2,0): y-intercept (0,−2)

11.45

x-intercept (3,0); y-intercept (0,2)

11.46

$(4, 0)$ and $(0, 12)$

11.47

$(8, 0)$ and $(0, 2)$

11.48

x-intercept (4,0); y-intercept: (0,−3)

11.49

x-intercept (4,0); y-intercept: (0,−2)

11.50

11.51

11.52

11.53

11.54

11.55

11.56

ⓐ intercepts
ⓑ horizontal line
ⓒ plotting points
ⓓ vertical line

11.57

ⓐ vertical line
ⓑ plotting points
ⓒ horizontal line
ⓓ intercepts

11.58

$\frac{4}{3}$

11.59

$\frac{1}{4}$

11.60

$- \frac{2}{3}$

11.61

$- \frac{4}{3}$

11.62

11.63

11.64

11.65

11.66

$\frac{2}{5}$

11.67

$\frac{3}{4}$

11.68

$- \frac{4}{3}$

11.69

$- \frac{3}{5}$

11.70

$\frac{5}{4}$

11.71

$\frac{3}{2}$

11.72

undefined

11.73

0

11.74

1

11.75

1

11.76

−1

11.77

10

11.78

11.79

11.80

11.81

11.82

11.83

11.84

$\frac{7}{12}$

11.85

$\frac{5}{12}$

11.86

$- \frac{1}{36}$

11.87

$- \frac{1}{48}$

Section 11.1 Exercises

1.

3.

5.

7.

9.

11.

13.

15.

C(1, -3) D(4, 3)

17.

S(-2, 4) T(-4, -2)

19.

C(0, -1) D(-1, 0)

21.

ⓐ , ⓑ

23.

ⓐ , ⓒ

25.

ⓑ , ⓒ

27.

ⓐ , ⓑ

29.

$x$	$y$	$(x, y)$
$−1$	$−6$	$(−1, −6)$
$0$	$−4$	$(0, −4)$
$2$	$0$	$(2, 0)$

31.

$x$	$y$	$(x, y)$
$−2$	$7$	$(−2, 7)$
$0$	$5$	$(0, 5)$
$3$	$2$	$(3, 2)$

33.

$x$	$y$	$(x, y)$
$−2$	$1$	$(−2, 1)$
$0$	$−2$	$(0, −2)$
$2$	$−5$	$(2, −5)$

35.

ⓐ
ⓑ Age and weight are only positive.

37.

Answers may vary.

Section 11.2 Exercises

39.

ⓐ yes ⓑ yes
ⓐ no ⓑ no
ⓐ yes ⓑ yes
ⓐ no ⓑ no

41.

ⓐ yes ⓑ yes
ⓐ yes ⓑ yes
ⓐ yes ⓑ yes
ⓐ no ⓑ no

43.

45.

47.

49.

51.

53.

55.

57.

59.

61.

63.

65.

67.

69.

71.

73.

75.

77.

79.

81.

83.

85.

87.

89.

91.

93.

95.

97.

99.

101.

103.

105.

107.

109.

111.

113.

$722, $850, $978

115.

Answers will vary.

Section 11.3 Exercises

117.

(3,0),(0,3)

119.

(5,0),(0,−5)

121.

(−2,0),(0,−2)

123.

(−1,0),(0,1)

125.

(0,0)

127.

(4,0),(0,4)

129.

(−2,0),(0,−2)

131.

(5,0),(0,−5)

133.

(−3,0),(0,3)

135.

(8,0),(0,4)

137.

(2,0),(0,6)

139.

(12,0),(0,−4)

141.

(2,0),(0,−8)

143.

(5,0),(0,2)

145.

(4,0),(0,−6)

147.

(3,0),(0,−1)

149.

(−10,0),(0,2)

151.

(0,0)

153.

(0,0)

155.

157.

159.

161.

163.

165.

167.

169.

171.

173.

175.

177.

179.

181.

vertical line

183.

horizontal line

185.

plotting points

187.

intercepts

189.

plotting points

191.

horizontal line

193.

intercepts

195.

plotting points

197.

ⓐ (0,1,000),(15,0). ⓑ At (0,1,000) he left Chicago 0 hours ago and has 1,000 miles left to drive. At (15,0) he left Chicago 15 hours ago and has 0 miles left to drive.

199.

Answers will vary.

201.

Answers will vary.

Section 11.4 Exercises

203.

$\frac{1}{4}$

205.

$- \frac{3}{2}$

207.

209.

211.

213.

215.

$\frac{2}{5}$

217.

$\frac{5}{4}$

219.

$- \frac{1}{3}$

221.

$- \frac{3}{4}$

223.

$\frac{3}{4}$

225.

$- \frac{5}{2}$

227.

$- \frac{2}{3}$

229.

$\frac{1}{4}$

231.

0

233.

undefined

235.

0

237.

undefined

239.

$\frac{5}{2}$

241.

$\frac{3}{4}$

243.

$- \frac{5}{2}$

245.

$- \frac{8}{5}$

247.

$\frac{7}{3}$

249.

−1

251.

253.

255.

257.

259.

261.

263.

265.

267.

$\frac{1}{3}$

269.

ⓐ $\frac{3}{50}$ ⓑ $rise = 3; run = 50$

271.

ⓐ 288 inches (24 feet)
ⓑ Models will vary.

273.

Answers will vary.

275.

Answers will vary.

Review Exercises

277.

279.

ⓐ III
ⓑ II
ⓒ IV
ⓐ I

281.

ⓐ (5,3)
ⓑ (2,−1)
ⓒ (−3,−2)
ⓓ (−1,4)

283.

ⓐ (2,0)
ⓑ (0,−5)
ⓒ (−4,0)
ⓓ (0,3)

285.

ⓑ ,ⓒ

287.

$x$	$y$	$(x, y)$
$0$	$−1$	$(0, −1)$
$1$	$3$	$(1, 3)$
$−2$	$−9$	$(−2, −9)$

289.

$x$	$y$	$(x, y)$
$5$	$0$	$(5, 0)$
$1$	$2$	$(1, 2)$
$−1$	$3$	$(−1, 3)$

291.

Answers will vary.

293.

Answers will vary.

295.

ⓐ yes ⓑ yes
ⓐ no ⓑ no
ⓐ yes ⓑ yes
ⓐ yes ⓑ yes

297.

299.

301.

303.

(0,3) (3,0)

305.

(−1,0) (0,1)

307.

(0,0)

309.

311.

horizontal line

313.

intercepts

315.

plotting points

317.

$\frac{4}{3}$

319.

$- \frac{2}{3}$

321.

323.

325.

1

327.

$- \frac{1}{2}$

329.

undefined

331.

0

333.

−4

335.

$\frac{1}{2}$

337.

Practice Test

339.

341.

(4,0), (0,−2)

343.

no; 1 + 4 · 3 ≠ 12

345.

$x$	$y$	$(x, y)$
$0$	$8$	$(0, 8)$
$2$	$0$	$(2, 0)$
$3$	$−4$	$(3, −4)$

347.

349.

$- \frac{5}{2}$

351.

0

353.

$\frac{1}{50}$

Chapter 11

Be Prepared

Try It

Section 11.1 Exercises

Section 11.2 Exercises

Section 11.3 Exercises

Section 11.4 Exercises

Review Exercises

Practice Test