Consider a point with coordinates (a,b) on the Cartesian plane.
(a) Part 1: (i) Explain, with reasons, what can be said about the signs of a and b if the point lies on (a) the positive x-axis, (b) the negative y-axis.
(b) Part 2: (ii) Explain why no point lying on any axis belongs to any quadrant.
(c) Part 3: (iii) Using your explanations above, identify the exact position (quadrant or axis) of each of the following points without direct reference to their numerical values: (–8,0), (0,5.2), (–0.4,–9), (6,–0.3).