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Equations of Lines, vectors

  1. Feb 1, 2012 #1
    1. The problem statement, all variables and given/known data
    Consider the line L(t)=<1+5t, 3+t>. Then L intersects:
    1. The x-axis at the point (-14,0) when t= -3
    2. the y-axis at the point (0, 14/5) when t=(-1/5)
    3. the parabola y=x^2 at the points ____ and ____ when t=____ and ____.


    2. Relevant equations

    y=x^2?

    3. The attempt at a solution

    I really have no idea what this is asking. I tried setting y = x^2 so (3+t) = (1+5t)^2 with the results of (110/50) and (272/50) but it didn't work. I really have no idea what it's asking. I'm sure it's a very simple problem because this is number 2/16 on my homework and I've already gotten all the others correct (including #1 and #2 of this problem), I just need a little push in the right direction.
    Thanks!
     
  2. jcsd
  3. Feb 1, 2012 #2

    Dick

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    Science Advisor
    Homework Helper

    I think you are doing the right thing. But you are getting the wrong solutions for t. Unfortunately, when I work it out I get a pretty messy solution for the two values of t. Can you show how you solved it?
     
  4. Feb 1, 2012 #3
    NEVER MINE I figured it out... basic algebra problem it works now!
     
    Last edited: Feb 1, 2012
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