In the rectangular coordinate system, if the line x = 3y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?	Select the correct option:
A) - 2  B) 0  C) 1 / 2  D) 1  E) 2 / 3

Rationale: x = 3 y + 5 , and thus y = x / 3 - 5 / 3 the slope is 1 / 3 . the slope of a line through points ( m , n ) and ( m + 2 , n + p ) is ( n + p - n ) / ( m + 2 - m ) = p / 2 p / 2 = 1 / 3 and thus p = 2 / 3 the answer is e .
Answer: E