In the rectangular coordinate system, if the line x = 6y + 5 passes through points (m,n) and (m + 2,...

In the rectangular coordinate system, if the line x = 6y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?

Quiz

Answer/Solution

1/3

Steps/Work

x = 6y+5, and thus y = x/6 - 5/6
The slope is 1/6.
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 = 1/6 and thus p = 1/3
The answer is B.