Let \(O\) be the origin. Points \(P\) and \(Q\) lie in the first quadrant. The slope of line segment \(\overline{OP}\) is \(1\) and the slope of line segment \(\overline{OQ}\) is \(7.\) If \(OP = OQ,\) then compute the slope of line segment \(\overline{PQ}.\)
Note: The point \((x,y)\) lies in the first quadrant if both \(x\) and \(y\) are positive.
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