year 8 maths

426 Chapter 7 Linear relationships 1
Example 10
6 Write the rule for these horizontal and vertical lines.
a
y
b
y
c
y
O
(0, 4)
x
O
(0, 1)
x
O
(0, –3)
x
d
y
e
y
f
y
(–4, 0)
O
x
O
(5, 0)
x
(−2, 0)
O
x
7 Sketch horizontal or vertical graphs for these rules.
a y = 2 b y = −1 c y = −4 d y = 5
e x = −3 f x = 4 g x = 1 h x = −1
PROBLEM-SOLVING AND REASONING
8, 9, 12 8–10, 12, 13
9–11, 13, 14
8 These graphs have rules that involve fractions. Find m and b and write the rule.
a
y b
y
c
y
(−5, 0)
2
1
(0, 2)
−5 −4 −3 −2 −1
O
−1
1
x
(–2, 1)
1
(0, 1)
2
–2 –1
O
–1
1 2
9 Find the rule for the graph of the lines connecting these pairs of points.
a (0, 0) and (2, 6) b (−1, 5) and (0, 0)
c (−2, 5) and (0, 3) d (0, −4) and (3, 1)
x
−3 −2 −1
O
−1
1 2 3
(0, −3)
4
−2
(−3, −7
)
4
x
10 A line passes through the given points. Note that the y -intercept is not given. Find m and b and
write the linear rule. A graph may be helpful.
a (−1, 1) and (1, 5) b (−2, 6) and (2, 4)
c (−2, 4) and (3, −1) d (−5, 0) and (2, 14)
11 Find the rectangular area enclosed by these sets of lines.
a x = 4, x = 1, y = 2, y = 7 b x = 5, x = −3, y = 0, y = 5
12 a Explain why the rule for the x -axis is given by y = 0 .
b Explain why the rule for the y -axis is given by x = 0 .
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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