m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 4) both lie on the line defined by the equation x = (y/2) - (2/5), what is the value of p?
Options:
A) 4/5  B) 1  C) 2  D) 5  E) 8
(m,n)   m = x   n = y   m = n/2 - 2/5   10m = 5n - 4 (multiplied by 10 to simplify equation)   (m+p, n+4)   m + p = x   n + 4 = y   m+p = (n+4)/2 - 2/5   multiplied by 10 again   10m + 10P = 5n + 20 - 4   use both equations to solve for p and you get 10p = 20   p = 2   ANSWER:2
<result>C</result>
m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 4) both lie on the line defined by the equation x = (y/2) - (2/5), what is the value of p?