chapter 17 answers -...
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© Pearson Education Limited 2009 1
Chapter 17 AnswersChapter 17 Answers 1 (a) (c) trapezium
(b) (d) parallel
2 A = (2,1) B = (7,5) C = (1,6) D = (4,6)
E = (–2, 1) F = (1,4) G = (–1, –2) H = 8,–3)
3
4 (a) y = 0 (b) x = 0
5 (a) (b)
(c) All go through the origin. They get closer to the y axis.
(d) The lines get steeper.
6 (a) (b)
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(c) They are all parallel. They have the same gradient (steepness).
7 (a) m = 20 (b) m = –3 (c) m = –2 (d) m = –7
8 (a) y = 4x + 9, m = 4 (b) y = 4x + 6, m = 4
(c) y = 2x + 4, m = 2 (d) y = x + 1, m = 1
9 (c), (e) and (f)
10 (a) y = x – 2 , m = 1, c = –2
(b) y = 3x + 6, m = 3, c = 6
(c) y = 3x m = 3 c = 0
(d) y = –4x + 2, m = –4 c = 2
(e) y = –4x + 3, m = –4 c = 3
(f) y = x – 7, m = 1 c = –7
(g) y = –7x + 4 m = –7 c = 4
(h) y = 0 m = 0 c = 0
(i) y = –2x – 3 m = –2 c = –3
(j) y = x + 1 m = 1 c = 1
11 (a) y =
5
2x –
7
2 (b) y =
4
3x +
8
3 (c) y =
7
5x –
8
5
(d) y = –
2
5x –
1
2 (e) y = –
2
3x +
1
2 (f) y = –
2
3x –
1
3
(g) y = –
4
5x –
3
5 (h) y = –
1
6x +
1
2 (i) y = –
4
5x +
3
5
12 i. (a)
x –3 –2 –1 0 1 2 3
y 9 4 1 0 1 4 9
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(b)
(c)
(d) The line of symmetry is x = 0
ii. (a)
x –3 –2 –1 0 1 2 3
y 0 –2 –2 0 4 10 18
(b)
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(c)
(d) The line of symmetry is x = –1.5
iii. (a)
x –4 –3 –2 –1 0 1 2 3
y 13 7 3 1 1 3 7 13
(b)
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(c)
(d) The line of symmetry is x = –0.5.
13
x = –1.5 or x = 2
14 (a)
(b) x = –1 and x = 4
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15 (a)
litres 0 5 10
pints 0 8.75 17.5
(b) Approximately 4.5 (4.5714)
16 (a)
m2 0 2 2.5 5
cm2 0 20 000 25 000 50 000
(b)
(c) Linear
(d) 37 000 cm2