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Sat question

  1. Sep 22, 2007 #1
    in the xy-plan, line t passes through the origin and is perpendicular to the line 4x+y= k, where k is a constant. If the two lines intersect at the point (t, t+1). WHat is the value of t?

    What is t, and t+1?

    I know that y= -4x +k
    and perpendicular to that would be y=(1/4)x+k

    but where should i go from there?
     
  2. jcsd
  3. Sep 22, 2007 #2
    The perpendicular is y = (1/4)x, not (1/4)x + k. Find the x solution for the intersection as a function of k i.e. x = x(k). Same with the y solution y = y(k). Then find what k satisfies y(k) - x(k) = 1. Then evaluate x(k) to get t.
     
    Last edited: Sep 22, 2007
  4. Sep 22, 2007 #3
    this is a multiple choice, it would probably quicker to plug and chug depending on how fast you're to do that
     
  5. Sep 22, 2007 #4

    mathwonk

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    this is an 8th grade or 9th grade question. sat's are not given until junior year.
     
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