Consider the following six points plotted on the same Cartesian plane:
A(3,4), B(−5,7), C(0,−6), D(2,0), E(−4,−3) and F(0,9).
Answer the questions that follow.
(i) For each point, state clearly in which quadrant it lies or whether it lies on an axis. Write the answer in a tabular form.
(ii) Explain, with reference to the sign of the abscissa and the ordinate, how you decided the quadrant or axis for each point listed in part (i). Your explanation should mention the general sign–rule for all four quadrants.
(iii) Write the general condition on the coordinates of a point so that it lies on the y-axis. Illustrate the condition with one example chosen from the given points and justify your choice.