Question 6 — IGCSE 0580 March 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Co-ordinate geometry · Cartesian coordinates (2D). Worth 11 marks.
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Question text
6
y
A
L
4 1
NOT TO
SCALE
B
0 8 x
L
2
A is the point (0, 4) and B is the point (8, 0).
The line L is parallel to the x-axis.
1
The line L passes through A and B.
2
(a) Write down the equation of L .
1
................................................. [1]
(b) Find the equation of L .
2
Give your answer in the form y = mx+c.
y = ................................................. [2]
(c) C is the point (2, 3).
The line L passes through C and is perpendicular to L .
3 2
(i) Show that the equation of L is y = 2x-1.
3
[3]
© UCLES 2023 0580/42/F/M/23
11
(ii) L crosses the x-axis at D.
3
Find the length of CD.
................................................. [5]
© UCLES 2023 0580/42/F/M/23 [Turn over
12
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