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