Results 1 to 2 of 2

Math Help - Equation of a line problem

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    Sweden
    Posts
    4

    Equation of a line problem

    Hey, I need some help with a problem

    determine the equation of the straight line passing through (1,3) and together with the coordinate axes forms a triangle with the smallest possible area.

    Not sure how to think about all this.
    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2012
    From
    AZ
    Posts
    616
    Thanks
    97

    Re: Equation of a line problem

    I'm assuming the triangle has to be in the first quadrant? Because it's possible to construct a triangle of area zero in the 2nd and 4th quadrants.

    Suppose the equation of the line, in slope-intercept form, is

    y - 3 = m(x - 1)

    y = mx + (3-m)

    Here, the y-intercept is 3-m (where m < 0), and you can solve for the x-intercept. Once you find the x-intercept, find the area in terms of m, and minimize it.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Vector equation of a line problem
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 1st 2011, 10:53 AM
  2. problem on equation of line
    Posted in the Math Topics Forum
    Replies: 0
    Last Post: November 30th 2009, 10:03 AM
  3. Equation of a line problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 29th 2008, 05:59 PM
  4. Tangen Line Equation Problem???
    Posted in the Calculus Forum
    Replies: 7
    Last Post: October 3rd 2008, 02:10 PM
  5. equation of a straight line problem
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: December 19th 2007, 04:17 PM

Search Tags


/mathhelpforum @mathhelpforum