Question 6 — IGCSE 0580 March 2023 Paper 32
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Co-ordinate geometry · Equation of a straight line. Worth 13 marks.
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Question text
6
y
10
L
9
8
7
6
5
4
3
2
1
– 6 – 5 – 4 – 3 – 2 – 1 0 1 2 x
– 1
– 2
– 3
– 4
(a) Find the equation of line L in the form y = mx+c.
y = ................................................ [2]
© UCLES 2023 0580/32/F/M/23
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(b) Write down the coordinates of the point where line L crosses the x-axis.
( .................... , .................... ) [1]
(c) (i) Complete the table of values for y = x2+5x+3.
x −6 −5 −4 −3 −2 −1 0 1
y 9 −1 −1
[3]
(ii) On the grid, draw the graph of y = x2+5x+3 for -6 G x G 1. [4]
(d) (i) On the grid, draw the line y = 6. [1]
(ii) Use your graphs to solve the equation x2+5x+3 = 6.
x = ............................. or x = ............................. [2]
© UCLES 2023 0580/32/F/M/23 [Turn over
12
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