Question 9 — IGCSE 0580 May/June 2024 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Co-ordinate geometry · Equation of a straight line. Worth 12 marks.
Open in interactive question bank →
Question text
9 (a) Line L has a gradient of 4 and passes through the point (0, 3).
W rite down the equation of line L in the form y = mx+c.
y = ................................................ [1]
(b) Line G has the equation y = 2-6x.
Line G passes through the point (a, 5).
Find the value of a.
a = ................................................ [3]
(c) (i) Complete the table of values for y = x2-6.
x -4 -3 -2 -1 0 1 2 3 4
y 10 -2 -5 -5 -2 10
[2]
(cid:300)(cid:213)(cid:265)(cid:175)(cid:288)(cid:179)(cid:237)(cid:199)(cid:237)(cid:219)(cid:241)(cid:173)(cid:266)(cid:189)(cid:271)(cid:216)(cid:258)(cid:215)
© UCLES 2024 (cid:300)(cid:280)(cid:281)(cid:225)(cid:203)(cid:294)(cid:228)(cid:190)(cid:214)(cid:237)(cid:251)(cid:282)(cid:297)(cid:242)(cid:244)(cid:210)(cid:224)(cid:258) 0580/33/M/J/24
(cid:293)(cid:181)(cid:293)(cid:213)(cid:181)(cid:245)(cid:229)(cid:277)(cid:197)(cid:197)(cid:213)(cid:213)(cid:277)(cid:293)(cid:293)(cid:213)(cid:213)(cid:213)
M
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0019655331819 *
19
(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:4)(cid:2)(cid:9)(cid:2)(cid:10)(cid:44)
(ii) On the grid, draw the graph of y = x2-6 for -4 G x G 4.
y
10
9
8
7
6
5
4
3
2
1
– 4 – 3 – 2 – 1 0 1 2 3 4 x
– 1
– 2
– 3
– 4
– 5
– 6
– 7
[4]
(iii) Write down the equation of the line of symmetry of the graph.
................................................. [1]
(iv) Use your graph to solve the equation x2-6 = 0 for x 2 0.
x = ................................................ [1]
(cid:300)(cid:215)(cid:265)(cid:175)(cid:288)(cid:179)(cid:237)(cid:199)(cid:237)(cid:219)(cid:241)(cid:173)(cid:266)(cid:189)(cid:269)(cid:216)(cid:258)(cid:215)
© UCLES 2024 (cid:300)(cid:280)(cid:282)(cid:226)(cid:195)(cid:292)(cid:224)(cid:174)(cid:227)(cid:267)(cid:262)(cid:207)(cid:173)(cid:266)(cid:232)(cid:210)(cid:208)(cid:258) 0580/33/M/J/24
(cid:293)(cid:181)(cid:277)(cid:277)(cid:245)(cid:277)(cid:197)(cid:245)(cid:213)(cid:181)(cid:261)(cid:213)(cid:277)(cid:261)(cid:261)(cid:277)(cid:197)(cid:213)
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0019655331820 *
20
(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:4)(cid:2)(cid:9)(cid:3)(cid:1)(cid:44)
BLANK PAGE
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge
Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download
at www.cambridgeinternational.org after the live examination series.
Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge
Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge.
(cid:300)(cid:213)(cid:265)(cid:175)(cid:288)(cid:179)(cid:237)(cid:199)(cid:237)(cid:219)(cid:241)(cid:173)(cid:266)(cid:191)(cid:271)(cid:216)(cid:260)(cid:215)
© UCLES 2024 (cid:300)(cid:280)(cid:282)(cid:227)(cid:195)(cid:298)(cid:206)(cid:187)(cid:216)(cid:261)(cid:253)(cid:216)(cid:271)(cid:230)(cid:262)(cid:194)(cid:232)(cid:258) 0580/33/M/J/24
(cid:293)(cid:261)(cid:197)(cid:277)(cid:181)(cid:277)(cid:197)(cid:213)(cid:181)(cid:277)(cid:245)(cid:213)(cid:213)(cid:261)(cid:229)(cid:277)(cid:213)(cid:213)
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
Mark scheme
