How many points (x, y) lie on the line segment between (15, 12 2/3) and (7, 17 2/3) such that x and y are both integers?	Choose the correct choice from the following options:
A) 1	B) 5	C) 7	D) 8	E) 9

Rationale: slope = ( 17 2 / 3 - 12 2 / 3 ) / ( 7 - 15 ) = - 5 / 8 y = mx + b = > 12 2 / 3 = - 15 * 5 / 8 + b = > b = 1 y = - 75 x / 8 + 22 only integer values work , and the only multiples of 8 between 7 and 15 for x value is 8 , thus 1 point . a
Answer: A