How many points (x, y) lie on the line segment between (22, 12 2/3) and (16, 17 2/3) such that x and y are both integers?  Choose the correct choice from the following answers
A) 1 B) 5 C) 7 D) 8 E) 9
slope = (17 2/3 - 12 2/3) / (16 - 22) = -5/6   y = mx + b =&gt; 12 2/3 = -22*5/6 + b =&gt; b = 31   y = -5x/6 + 31   Only integer values work, and the only multiples of 6 between 16 and 22 for x values is 18, thus 1 point.   1
<result>A</result>
How many points (x, y) lie on the line segment between (22, 12 2/3) and (16, 17 2/3) such that x and y are both integers?