A straight line passes through A 3 4 and is perpendicular to the line 2y 5x 8

# A straight line passes through a 3 4 and is

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17. A straight line passes through A(-3, -4) and is perpendicular to the line 2y + 5x = 8. The line through A cuts the x-axis and y-axis at C and Q respectively. a)(i) Find the equation of the line.(3 marks)b)(i) Find the gradient of the line joining the points P(-1, 4) and Q(-6, 7)(1 mark) ii) Hence determine the co-ordinates of C and Q (3 marks) ii) Find the equation of the line passing through point P and is parallel to the line PQ in b(i) above. (3 marks) 9

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18. In a physics examination, the percentage marks scored by 120 pupils were recorded as shown in the table below.Marks1-1011-2021-3031-4041-5051-6061-7071-8081-9091-100No. of pupils261520263012432Find the: 10
19. a) Fill in the table below: x c - 5 / 6 Π c - 2 / 3 Π c -½ Π c - 1 / 3 Π c - 1 / 6 Π c 0 1 / 6 Π c 1 / 3 Π c ½ Π c 2 / 3 Π c 5 / 6 Π c 4sin x 0 -3.46 -3.46 -2 0 2 3.46 2 5cosx -5 -4.33 0 2.5 4.33 5 0 -2.5 -4.33 (2 marks) b) On the same axes, draw the graphs of y= 4 sin x and y = 5 cos x (4 marks) c) Use the graph to solve the equation. i) 4 sin x – 5 cos x = 0 (2 marks) ii) 8 sin x = 1.668 11
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