Results 1 to 10 of 10

Math Help - What is the least slope of such a line?

  1. #1
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2

    What is the least slope of such a line?

    Can anybody help me do this please... thank you so much.

    A line with y-intercept 5 and positive slope is drawn such that this line intersects
    What is the least slope of such a line?-slope.jpg
    . What is the least slope of such a line?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2
    The best!
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,487
    Thanks
    1391
    Quote Originally Posted by Soroban View Post
    ...
    But it didn't say that the line was tangent to the circle, only that it intersects the circle...
    Last edited by CaptainBlack; December 21st 2010 at 08:47 AM.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2
    yeah sir Prove it, i see the answer of 4/3 in the problem from the booklet of PMO, but there is no solution to reach to that answer, how does it related to the first answer you have shown sir? are both the same?

    thanks a lot. Mwah
    Follow Math Help Forum on Facebook and Google+

  5. #5
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2
    thanks Sir Soroban nice Job too.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,487
    Thanks
    1391
    Quote Originally Posted by rcs View Post
    yeah sir Prove it, i see the answer of 4/3 in the problem from the booklet of PMO, but there is no solution to reach to that answer, how does it related to the first answer you have shown sir? are both the same?

    thanks a lot. Mwah
    Then you must have written the question wrong. If it has to be tangent to the circle, then follow Soroban's solution.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2
    thanks sir. i take your advice.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,706
    Thanks
    625
    Hello, Prove It!

    But it didn't say that the line was tangent to the circle, only that it intersects the circle.

    That's true, but if the line is a secant to the circle, it will have a larger slope.

    Follow Math Help Forum on Facebook and Google+

  9. #9
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by Prove It View Post
    But it didn't say that the line was tangent to the circle, only that it intersects the circle...
    The line of least slope will be a tangent

    CB
    Follow Math Help Forum on Facebook and Google+

  10. #10
    MHF Contributor
    Joined
    Dec 2009
    Posts
    3,120
    Thanks
    1
    Quote Originally Posted by rcs View Post
    Can anybody help me do this please... thank you so much.

    A line with y-intercept 5 and positive slope is drawn such that this line intersects
    Click image for larger version. 

Name:	slope.jpg 
Views:	59 
Size:	3.6 KB 
ID:	20168
    . What is the least slope of such a line?
    Are you attempting a geometric solution using a right-angled triangle
    or an algebraic solution involving the intersection of a line and circle ?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Slope of a line
    Posted in the Algebra Forum
    Replies: 5
    Last Post: June 3rd 2011, 06:59 PM
  2. Slope of a line
    Posted in the Geometry Forum
    Replies: 2
    Last Post: December 12th 2010, 10:08 PM
  3. A Line With a Slope
    Posted in the Geometry Forum
    Replies: 2
    Last Post: December 12th 2010, 10:06 PM
  4. Slope of the Line
    Posted in the Geometry Forum
    Replies: 3
    Last Post: December 12th 2010, 10:04 PM
  5. Secant Line Slope and Tangent Line Slope
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 26th 2009, 05:40 PM

Search Tags


/mathhelpforum @mathhelpforum