A student is revising the basic ideas of the Cartesian plane.
a. (i) Define abscissa and ordinate of a point on the Cartesian plane.
b. (ii) Describe step-by-step how you would locate the point P(−3,4) starting from the origin.
c. (iii) A point Q has abscissa 0 and ordinate −5. State whether Q lies on an axis, in a quadrant, or at the origin. Give reasons for your answer.
d. (iv) Explain why the coordinates of a point do not change even if the same graph is drawn on paper of a different size.