Results 1 to 4 of 4

Math Help - given a linear function , find the closest point

  1. #1
    Junior Member
    Joined
    Dec 2009
    Posts
    71

    given a linear function , find the closest point

    find the point on the line y=x+1 that is closest to the point (4,1)...do i have to create the table , then sketch the graph and find out by observing or i can find it with another way?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,683
    Thanks
    446
    Quote Originally Posted by alessandromangione View Post
    find the point on the line y=x+1 that is closest to the point (4,1)...do i have to create the table , then sketch the graph and find out by observing or i can find it with another way?
    1. find the line perpendicular to y=x+1 that passes through the point (4,1)

    2. determine the point of intersection of y=x+1 and the perpendicular line found in step 1.

    3. use the distance formula to find the distance between (4,1) and the point found in step 2.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Dec 2009
    Posts
    71
    well i applied step 1 and i applied the slope point form and i got y=x-3 then try to get the point on the intersection with y= x+1...but i cannot find it...
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,693
    Thanks
    1466
    y= x- 3 is NOT perpendicular to y= x+ 1.

    y= x+ 1 has slope 1. A line perpendicular to it must have slope -1.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: April 6th 2011, 06:44 AM
  2. Replies: 1
    Last Post: April 28th 2010, 07:59 PM
  3. Replies: 2
    Last Post: November 5th 2009, 12:05 PM
  4. Find the point on the line, closest to a point
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 14th 2009, 05:41 PM
  5. Replies: 1
    Last Post: April 27th 2009, 02:30 PM

Search Tags


/mathhelpforum @mathhelpforum