In the rectangular coordinate system, if the line x = 8y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?  Choose the correct option:
A) 1/2
B) 1/3
C) 1/4
D) 1/5
E) 1/6
x = 8y+5, and thus y = x/8 - 5/8   The slope is 1/8.   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 = 1/8 and thus p = 1/4   The answer is 1/4.
<result>C</result>
In the rectangular coordinate system, if the line x = 8y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?