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Finding the parametric form of a tangent line vectors

  1. Sep 11, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the parametric form for the tangent line to the graph of y=2x2−5x+3 at x=2 is

    2. Relevant equations
    I have no clue!


    3. The attempt at a solution
    I found the tangent line to be y=3x-5

    I know that the answer has to be in the form...

    <x0,y0>+t<x1-x0,y1-y0>

    I have absolutely no idea what is x0,y0,x1, or y1.

    So I am just really confused on how to put it in the requested form.
     
  2. jcsd
  3. Sep 11, 2010 #2

    Dick

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    Science Advisor
    Homework Helper

    There are a lot of choices for x0, y0, x1 and y1. Pick any two points on your tangent line. Put x=2 and get y=1. So (2,1) is a choice for (x0,y0). Pick x=3. What do you get for y? That's a choice for (x1,y1). There's no one form for a parametric line. Pick any two points you want.
     
  4. Sep 11, 2010 #3
    Thank you Dick. That actually makes a lot of sense! I was just making the problem too hard (as usual).
     
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