IGCSE 0580 Question Bank

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.

Co-ordinate geometryEquation of a straight line12 marksCoreCalculatorPaper 33May/June 2024
Open in interactive question bank →IGCSE Mathematics 0580 May/June 2024 Paper 33 Question 9 – Co-ordinate geometry, Equation of a straight line, 12 marks

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

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