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Math Help - points of intersection.

  1. #1
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    points of intersection.

    OK, so heres the question:

    On the same axes draw the curves of equations y = 6 / x. ( As in the asymptotes ) and y = 1 + x.

    ^^ OK, so done that.. now next part :

    The curves intersect at points A and B, find the co-ordinates of A and B.

    So, I dont know what to do here. Don't you just make them equal to each other and solve ?

    Can someone explain, step by step and a link would be helpful , with more examples and explanations as well please ?
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by Mathematix View Post
    OK, so heres the question:

    On the same axes draw the curves of equations y = 6 / x. ( As in the asymptotes ) and y = 1 + x.

    ^^ OK, so done that.. now next part :

    The curves intersect at points A and B, find the co-ordinates of A and B.

    So, I dont know what to do here. Don't you just make them equal to each other and solve ?

    Can someone explain, step by step and a link would be helpful , with more examples and explanations as well please ?
    yes, equate them.. then solve for x's.. finally substitute the x's to any of the two curve to find their respective y-component.. then you'll get the coordinates..
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  3. #3
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    Thanks, but I still dont understand.

    x = ( 6 / x ) - 1

    Then what ...? How do I substitute that into y = x + 1 or x = y - 1 ??
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  4. #4
    MHF Contributor kalagota's Avatar
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    Taguig City, Philippines
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    Quote Originally Posted by Mathematix View Post
    Thanks, but I still dont understand.

    x = ( 6 / x ) - 1

    Then what ...? How do I substitute that into y = x + 1 or x = y - 1 ??
    yup, you have x+1 = 6/x

    then multiplying 6 to both sides, we have
    x^2 + x = 6 or x^2 + x - 6 = 0

    then factor...
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