Results 1 to 2 of 2

Math Help - Dividing intervals

  1. #1
    Junior Member
    Joined
    Nov 2007
    Posts
    52

    Dividing intervals

    The points A (7,6) and B (2,1) are 3 units and 2 units respectively from the line L and are on the opposite sides of L. Find the coordinates of the point where the interval AB crosses the line L.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by nerdzor View Post
    The points A (7,6) and B (2,1) are 3 units and 2 units respectively from the line L and are on the opposite sides of L. Find the coordinates of the point where the interval AB crosses the line L.
    The distance \overline{AB} is divided by the line L into 2 parts with the ratio of 2 : 3 (from B to A)

    You find this ratio with the coordinates of the points A and B.

    Therefore the coordinates of the point of intersection are \left(2+\frac25 \cdot (7-5),1+\frac25 \cdot (6-1)\right) That means this point has the coordinates (4, 3)

    There are 2 lines which satisfy the given conditions.
    Attached Thumbnails Attached Thumbnails Dividing intervals-gemeins_gerade.gif  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. intervals of increase and the intervals of decrease?
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: February 28th 2010, 09:00 PM
  2. dividing
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: July 17th 2009, 10:23 AM
  3. Dividing
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: March 19th 2009, 11:07 PM
  4. dividing
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 29th 2008, 12:29 PM
  5. Dividing
    Posted in the Advanced Math Topics Forum
    Replies: 6
    Last Post: January 3rd 2008, 12:39 PM

Search Tags


/mathhelpforum @mathhelpforum