Sat question

  • Thread starter linhy
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  • #1
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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?
 

Answers and Replies

  • #2
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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:
  • #3
1,707
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this is a multiple choice, it would probably quicker to plug and chug depending on how fast you're to do that
 
  • #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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