year 8 maths

420 Chapter 7 Linear relationships 1
ENRICHMENT
– –
14
Rise and run as differences
14 The run and rise between two points can be calculated by finding the
difference between the pairs of x - and pairs of y -coordinates.
For example:
Rise = 4 − 1 = 3
Run = 4 − (−3) = 7
(−3, 1)
O
y
(4, 4)
x
Gradient = 3 7
Use this method to find the gradient of the line joining the given points.
a
y
b
y
(5, 4)
O
(–4, –2)
x
(−4, –1)
O
(3, −3)
x
c
y
d
y
(4, 5)
(−5, −3)
O
x
(−3, 0)
O
(0, 4)
x
e (−3, 1) and (4, −2)
f (−2, −5) and (1, 7)
g (5, −2) and (−4, 6)
h
( −1 2 , 2 ) and 9
( 2 , −3 )
i
j
k
( −4, 2 3) and ( 3, −4 3)
( −3 2 , 2 3) and ( 4, −2 3)
( −7 4 , 2 ) and 1
( 3 , 1 2)
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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