Page 168 - Cambridge+Checkpoint+Mathematics+Coursebook+9

18.1 Gradient of a graph

3 Work out the gradients of lines a, b and c. y a
b 2 The gradients are negative.
1
0 x
–2 –1 1 2 3 4
c –1
–2
–3
–4

4 Work out the gradients of lines p, q and r. y q p
3
2
r
1
p
0 x
–3 –2 –1 1 2 3
–1 r
q
–2

5 a Show that the gradient of line d is 2.5. f 15 y d Look at the numbers
b Find the gradients of lines e and f.
10 on the axes.
e
5
d
0 x
–2 –1 1 2 3
–5
–10
–15 f
e

y
6 Work out the gradients of lines a, b and c. a
3 b
2
1
0 x
–10 10 20 30 40 50
–1
–2
c
–3

7 A straight line goes through the points (−4, 2), (2, 5) and (4, 6).
a Draw the line on a grid.
b Find the gradient of the line.
8 Find the gradient of the straight line through each set of points. Plot the points on a graph.
a (3, −4), (6, 2) and (4, −2) b (3, 6), (−6, −3) and (−3, 0)
c (−1, −6), (−4, 6) and (−3, 2) d (5, 3), (2, 3) and (−4, 3)

9 Find the gradient of the straight line through each set of points.
a (0, 0), (2, 12) and (−5, −30) b (10, 0), (5, 20) and (0, 40)
c (10, 0), (9, −12) and (12, 24) d (−10, 10), (0, 11) and (5, 11.5)

18 Graphs 18 Graphs 167