anonymous
  • anonymous
Write an equation for the locus of points equidistant from the lines y=3-3x and y=3x-3 .
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
|dw:1332965903091:dw|
anonymous
  • anonymous
first we need to find two point the same distance away from each equation
anonymous
  • anonymous
so the first point can the intersection of the two line s y=3-3x y=3x-3 y=y 3-3x=3x-3 6x=6 x=1 therefore y =0 (0,1) we just need one more point and then we make an equation for that line

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anonymous
  • anonymous
ok so whats the next step to get the last point @benice
anonymous
  • anonymous
ok so we could pick say y =6 for both lines y=3x-3 6=3x-3 3x=9 x=3 (3,6) y=3-3x 6=3-3x 3=-3x x=-1 (|dw:1332966561289:dw|-1,6)
anonymous
  • anonymous
so in my poor drawing we have two points on the lines... you need to find the midpoint of the line to get your second point
anonymous
  • anonymous
ok
anonymous
  • anonymous
what is the formula to find the midpoint again @benice
anonymous
  • anonymous
(x1+x2)/2 , (y1+y2)/2
anonymous
  • anonymous
so do you multiply the amounts add subtract what ? @benice
anonymous
  • anonymous
|dw:1332967284309:dw| for example
anonymous
  • anonymous
so it would be (3+-1) /2 ,( 6+6) /2 ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
and that is ( 1,6 ) the final answerr ? @benice ?
anonymous
  • anonymous
and then what do you do after that to solve the problem ?
anonymous
  • anonymous
remeber we need to find an equation that equal distance from both lines so we decide we would get two points (0,1) (1,6) now with these two points equal distance from both the lines this means they are on the line we are looking for so ,... how do the equation of the line with two points?
anonymous
  • anonymous
sorry the points are (1,0) (1,6)
anonymous
  • anonymous
|dw:1332967959443:dw|
anonymous
  • anonymous
ok so now we have what we need to find the locus ? @benice
anonymous
  • anonymous
yes find that line equation and your done
anonymous
  • anonymous
ohh you see i didnt even know you responded back -__ - what is the formula for line equation ? @benice

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