Gradients of Perpendicular Lines

Gradients of Perpendicular Lines

Three points have coordinates \(A\left( 3,10 \right)\), \(B\left( -1,2 \right)\) and \(C\left( k,8 \right)\). Find the value(s) of \(k\) if \(AC\) is perpendicular to \(BC\).

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Answer:\(k=5\text{ or}\hspace{0.5em}k=-3\)

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