Equation of a Line Through Two Points

Equation of a Line Through Two Points

Secondary 3

The figure shows a straight line passing through the points \(T\left( 3,4 \right)\) and \(U\left( 7,6 \right)\).

Find the equation of the line \(TU\).
A point \(\left( k,k+8 \right)\) lies on the line \(TU\) produced.
Find the value of \(k\).

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Answer:(i) \(y = \frac{1}{2}x + \frac{5}{2}\) (ii) \(k = -11\)

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