# 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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