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Math Help - tangent/secant lines.

  1. #1
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    tangent/secant lines.

    Am i supposed to just pick numbers for this?

    Given the function y=(4/x)-6

    a) Find two points that satisfy the function

    b) Find the equation of the secant line through those two points.

    c) Determine if there is a point of tangency where the tangent line is parallel to the secant line in part b). If there are such points, find them or show why such a point does not exist.
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  2. #2
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    Quote Originally Posted by JessicaWade View Post
    Am i supposed to just pick numbers for this?

    Given the function y=(4/x)-6

    a) Find two points that satisfy the function
    Yep, pick 2 separate numbers for x, sub them in to find y


    Quote Originally Posted by JessicaWade View Post

    b) Find the equation of the secant line through those two points.
    Use the points you found in part a to find the line y = mx+c

    Do you know how to do this?


    Quote Originally Posted by JessicaWade View Post

    c) Determine if there is a point of tangency where the tangent line is parallel to the secant line in part b). If there are such points, find them or show why such a point does not exist.
    Using the line from the previous part, pick out the gradient to help find a line that is parallel.
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  3. #3
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    OK, so I picked x=2 & x=1 .. I don't know what to do for part B or C though.
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  4. #4
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    What were your corresponding y ordinates for x = 1,2 ?
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  5. #5
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    y = -4 & y = -2
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  6. #6
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    Well done, now you have to find

     y = mx+c

    where (x_1,y_1) = (1,-2) and (x_2,y_2) = (2,-4)

     <br />
m = \frac{y_2-y_1}{x_2-x_1}<br />
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