Linear Law - Interpreting Linearised Graphs and Finding Constants

Linear Law - Interpreting Linearised Graphs and Finding Constants

Variables \(x\) and \(y\) are related in such a way such that, when \(xy\) is plotted against \(x^2\), a straight line is produced.
The line passes through the points \(A(1, 9)\), \(B(5, 1)\) and \(P(4, p)\) as shown in the diagram.

  1. Find \(p\).
  2. Express \(y\) in terms of \(x\).

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Answer:(a) \(p=3\) (b) \(\displaystyle y=\frac{11-2x^2}{x}\)

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