In the xy-coordinate system, if (m, n) and (m + 5, n + k) are two points on the line with the equation x = 2y + 5, then k =  Choose the correct choice from the following answers.
A) 1/2  B) 1  C) 2  D) 5/2  E) 4
Since (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5 they should satisfy m=2n +5 and m+5 =2 *(n+k)+5.   By 1st equation we have m-2n=5 and by 2nd equation m-2n = 2k ---&gt; 5=2k ---&gt;k=5/2.   The answer is, therefore, (5/2).
<result>D</result>
In the xy-coordinate system, if (m, n) and (m + 5, n + k) are two points on the line with the equation x = 2y + 5, then k =