SOLUTION: A line segment joins the points (9,11) and (61,319) in the Cartesian plane. Including its end points, how many lattice points does this line segment contain?

Algebra ->  Expressions -> SOLUTION: A line segment joins the points (9,11) and (61,319) in the Cartesian plane. Including its end points, how many lattice points does this line segment contain?      Log On


   

Question 230478: A line segment joins the points (9,11) and (61,319) in the Cartesian plane. Including its end points, how many lattice points does this line segment contain?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the slope of the line is 308/52

this reduces to 77/13 ___ these are the integer spaces between the lattice points

(9, 11), (22, 88), (35, 165), (48, 242), (61, 319)

5 points