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Math Help - intersection

  1. #1
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    intersection

    the line y=mx intersects the curve y=e^x at two distinct points, write an inequality for m
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  2. #2
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    Quote Originally Posted by Punch View Post
    the line y=mx intersects the curve y=e^x at two distinct points, write an inequality for m
    HINT: The line y=ex intersects the graph in one point.
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  3. #3
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    Quote Originally Posted by Plato View Post
    HINT: The line y=ex intersects the graph in one point.
    So, i have to find b^2-4ac=0 and find m at that point, then the inequality would be m>that value found because any line steeper would intersect twice.

    then, mx=e^x

    but how am i supposed to form a quadratic equation of this
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  4. #4
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    Where did you get a, b, and c?

    Other hint: Where does the line y = 10000000000*x intersect y = e^x?
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