In the coordinate plane \(p\ne 1,\) a line \(L\) passes through a point \((1,p).\) What is the slope of the line \(L?\)
(1) The line \(L\) passes through the point \((0,1).\)
(2) The line \(L\) passes through point \((p,13).\)
Answer: E
Source: GMAT Club Tests