(i) Explain why two distinct points in a plane uniquely determine a single straight line.
(ii) Discuss whether two different linear equations can represent the same straight line. Give a clear reason for your answer.
(iii) Illustrate your explanation in parts (i) and (ii) by writing two different equations for the straight line passing through the points (2,−1) and (−3,4), and show algebraically that both equations indeed represent the same line.