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Finding equation of line given two sets of coordinates of two points

Finding equation of line given two sets of coordinates of two points

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The coordinates of two points \(A\) and \(B\) are \((8,\,-5)\) and \((-4,\,10)\) respectively.

  1. Find the equation of the line \(AB\).
  2. Point \(C\left( p,3 \right)\) lies on the line \(AB\).
    Calculate the value of \(p\).

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Answer:(i) \(y = -\frac{5}{4}x + 5\) (ii) \(p = 1\frac{3}{5}\)

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