year 8 maths

436 Chapter 7 Linear relationships 1
6 For each of these graphs write down the coordinates of the point of intersection (i.e. the point
where the lines cross over each other).
a
y
b
y
−5 −4 −3 −2 −1
5
4
3
2
1
−1
−2
−3
−4
−5
O 1 2 3 4 5
x
5
4
3
2
1
−5 −4 −3 −2 −1
O
−1
−2
−3
−4
−5
1
2
3 4 5
x
7 Graph each pair of lines on the same set of axes and read off the point of intersection.
a y = 2x − 1
x −2 −1 0 1 2 3
y
y = x + 1
x −2 −1 0 1 2 3
y
b
y = −x
x −2 −1 0 1 2 3
y
y = x + 2
x −2 −1 0 1 2 3
y
8 Use digital technology to sketch a graph of y = 1.5x − 2.5 for x and y values between −7 and 7 .
Use the graph to solve each of the following equations. Round answers to two decimal places.
a 1.5x − 2.5 = 3
b 1.5x − 2.5 = −4.8
c 1.5x − 2.5 = 5.446
9 Use digital technology to sketch a graph of each pair of lines and find the coordinates of the points
of intersection. Round answers to two decimal places.
a y = 0.25x + 0.58 and y = 1.5x − 5.4
b y = 2 − 1.06x and y = 1.2x + 5
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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