Minimum value.

Geometry Level pending

A straight line \(L\) with negative slope passes through the point \(K(8,2)\) and cuts the positive coordinate axes at \(P\) and \(Q\). Find the absolute minimum value of \(OP+OQ\), as \(L\) varies.

Details and assumptions:

-Take \(O\) as the origin.

-\(P\) and \(Q\) cuts the \(x\)-axis and \(y\)-axis, respectively.

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