A line segment is drawn in the \(xy\)-coordinate plane with endpoints \(P(3,5)\) and \(Q(8,0).\) Line \(n\) is drawn

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A line segment is drawn in the \(xy\)-coordinate plane with endpoints \(P(3,5)\) and \(Q(8,0).\) Line \(n\) is drawn so that it intersects \(PQ.\) What is the slope of line \(n?\)

1) Point \(A\) is located on line \(n,\) and \(AP=AQ\)

2) The \(x\)-intercept of line \(n\) is \((3,0)\)

The OA is E