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princesskks

  • 3 years ago

Write an equation for the locus of points equidistant from the lines y=3-3x and y=3x-3 .

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  1. benice
    • 3 years ago
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    |dw:1332965903091:dw|

  2. benice
    • 3 years ago
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    first we need to find two point the same distance away from each equation

  3. benice
    • 3 years ago
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    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

  4. princesskks
    • 3 years ago
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    ok so whats the next step to get the last point @benice

  5. benice
    • 3 years ago
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    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)

  6. benice
    • 3 years ago
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    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

  7. princesskks
    • 3 years ago
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    ok

  8. princesskks
    • 3 years ago
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    what is the formula to find the midpoint again @benice

  9. benice
    • 3 years ago
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    (x1+x2)/2 , (y1+y2)/2

  10. princesskks
    • 3 years ago
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    so do you multiply the amounts add subtract what ? @benice

  11. benice
    • 3 years ago
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    |dw:1332967284309:dw| for example

  12. princesskks
    • 3 years ago
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    so it would be (3+-1) /2 ,( 6+6) /2 ?

  13. benice
    • 3 years ago
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    yes

  14. princesskks
    • 3 years ago
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    and that is ( 1,6 ) the final answerr ? @benice ?

  15. princesskks
    • 3 years ago
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    and then what do you do after that to solve the problem ?

  16. benice
    • 3 years ago
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    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?

  17. benice
    • 3 years ago
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    sorry the points are (1,0) (1,6)

  18. benice
    • 3 years ago
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    |dw:1332967959443:dw|

  19. princesskks
    • 3 years ago
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    ok so now we have what we need to find the locus ? @benice

  20. benice
    • 3 years ago
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    yes find that line equation and your done

  21. princesskks
    • 3 years ago
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    ohh you see i didnt even know you responded back -__ - what is the formula for line equation ? @benice

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