How many lattice points are there between (2,0) and (16,203)?

• The slope of the line (y2-y1)/(x2-x1)=203/14=29/2.
  now lattice point will be
  (2,0) (4,29) (6,58) (8,87) (10,116) (12,145)
  (14,174) (16,203)
  
  just find slope and increase x by 2(x2-x1) and y by 29(y2-y1).
• 10 years agoHelpfull: Yes(56) No(4)
• jUs REMBEBER DZ :
  lattice points can always b easily determined as d difference btwn d values of "X" coordinates ie;
  LATTICE POINTS = DIFFERENCE BETWEEN "x" COORDINATES
  = X2-X1 {{{(X1,Y1) (X2,Y2) [GIVEN]}}}
  = 16-02
  = 14
  ANSWER = *14*
  #
  
  
• 10 years agoHelpfull: Yes(16) No(22)
• The lattice Points forms when the two co-ordinate axis cut at integral parts.
  The x axis is from 2 to 16 with 14 integer values between them.
  then the corresponding y values will be from 0 to 203 with
  203/14=14.5 in each.
  The x and y axis meet at points
  (2,0) (3,14.5) (4,29) (5,43.5) (6,58)....(16,203)
  x and y meet at 16 points.
  But the considering the integer points only 8 of them are available.
  Hence the number of lattice points will be 8.
• 9 years agoHelpfull: Yes(11) No(0)
• draw a line from origin(0,0) to (14,203)
  this line is parallel to the line joining(2,0) and (16,203).
  A lattice point is defined as the positive values for x and y coordinates along the line in a graph.
  after drawing this line you will come across 8 such points.
  so the answer is 8
• 10 years agoHelpfull: Yes(9) No(3)
• @asit plz exlain how u got the lattice points (2,0)(4,29)....
• 10 years agoHelpfull: Yes(2) No(2)
• 16-2=14 lattice points
  
• 10 years agoHelpfull: Yes(1) No(4)
• x1=2 and x2=16
  lattice points =x2/x1=16/2=8
• 6 years agoHelpfull: Yes(1) No(0)
• the points between these coordinate points so ans:15(including 2 and 16)
• 10 years agoHelpfull: Yes(0) No(6)
• ans is 170000.9
  
• 10 years agoHelpfull: Yes(0) No(13)
• answer=2
  make integral solution of 14 y=203x-406
  
  
• 8 years agoHelpfull: Yes(0) No(0)
• answer=2
  make integral solution of 14 y=203x-406
  
  
• 8 years agoHelpfull: Yes(0) No(2)
• explain it briefly @Sudhee
• 8 years agoHelpfull: Yes(0) No(0)
• Slope (m) = (y2 - y1) / (x2 - x1)
  m = 203 / 14
  
  General Equation of Line :
  y - y1 = m * (x - x1)
  => y - 0 = (203/14)* (x - 2)
  => y = (203/14)* (x-2)
  
  If(a,b) is a lattice point that joint the line segment,
  then
  2
• 8 years agoHelpfull: Yes(0) No(0)
• Slope (m) = (y2 - y1) / (x2 - x1)
  m = 203 / 14
  
  General Equation of Line :
  y - y1 = m * (x - x1)
  => y - 0 = (203/14)* (x - 2)
  => y = (203/14)* (x-2)
  
  If(a,b) is a lattice point that joint the line segment,
  then
  2
• 4 years agoHelpfull: Yes(0) No(0)