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