Question 7 — IGCSE 0580 May/June 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
7 (a)
y
6
L
5
4
3
2
1
– 3 – 2 – 1 0 1 2 3 4 5 x
– 1
– 2
– 3
– 4
– 5
– 6
(i) Find the equation of line L.
Give your answer in the form y = mx+c.
y = ................................................ [2]
(ii) On the grid, draw the line y = 1. [1]
(iii) Write down the coordinates of the point where the two lines intersect.
( ...................... , ....................... ) [1]
© UCLES 2023 0580/32/M/J/23
15
(b) (i) Complete the table of values for y = x2+x-8.
x -4 -3 -2 -1 0 1 2 3 4
y 4 -2 -8 -8 -2 4
[2]
(ii) On the grid, draw the graph of y = x2+x-8 for -4 G x G 4.
y
12
10
8
6
4
2
– 4 – 3 – 2 – 1 0 1 2 3 4 x
– 2
– 4
– 6
– 8
– 10
[4]
(iii) Write down the equation of the line of symmetry of the graph.
................................................. [1]
(iv) Use your graph to solve the equation x2+x-8 = 0.
x = .................................. or x = ................................... [2]
© UCLES 2023 0580/32/M/J/23 [Turn over
16
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