In the rectangular coordinate system, if the line x = 5y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?
Pick one.
A) 1/2  B) 2/3  C) 1/4  D) 2/5  E) 3/7
x = 5y+5, and thus y = x/5 - 1   The slope is 1/5.   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 = 1/5 and thus p = 2/5   The answer is 2/5.
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In the rectangular coordinate system, if the line x = 5y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?