Graphs 6

2 marks · Normal

State the algebraic form of a reciprocal equation and give an example.

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y = a/x, e.g. y = 5/x

Must show: Correct general form: y = a/x or similar, Example given (e.g., y = 5/x)

Also accept: y = k/x; Any valid example, e.g., y = 2/x

Common mistakes: Giving y = a/x + b (without specifying a or b); Only giving an example, not the algebraic form

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Marking points

B1 · 1 mark · Gives correct algebraic form (y = a/x or similar).

B2 · 1 mark · Gives a correct example (e.g., y = 2/x, y = -7/x).

Worked solution

The general algebraic form is y = a/x, where a is a constant. Example: y = 5/x.