Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

princesskks

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

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1332965903091:dw|

    • 2 years ago
  2. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    first we need to find two point the same distance away from each equation

    • 2 years ago
  3. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    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

    • 2 years ago
  4. princesskks
    Best Response
    You've already chosen the best response.
    Medals 0

    ok so whats the next step to get the last point @benice

    • 2 years ago
  5. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    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)

    • 2 years ago
  6. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    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

    • 2 years ago
  7. princesskks
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

    • 2 years ago
  8. princesskks
    Best Response
    You've already chosen the best response.
    Medals 0

    what is the formula to find the midpoint again @benice

    • 2 years ago
  9. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    (x1+x2)/2 , (y1+y2)/2

    • 2 years ago
  10. princesskks
    Best Response
    You've already chosen the best response.
    Medals 0

    so do you multiply the amounts add subtract what ? @benice

    • 2 years ago
  11. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1332967284309:dw| for example

    • 2 years ago
  12. princesskks
    Best Response
    You've already chosen the best response.
    Medals 0

    so it would be (3+-1) /2 ,( 6+6) /2 ?

    • 2 years ago
  13. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

    • 2 years ago
  14. princesskks
    Best Response
    You've already chosen the best response.
    Medals 0

    and that is ( 1,6 ) the final answerr ? @benice ?

    • 2 years ago
  15. princesskks
    Best Response
    You've already chosen the best response.
    Medals 0

    and then what do you do after that to solve the problem ?

    • 2 years ago
  16. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    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?

    • 2 years ago
  17. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry the points are (1,0) (1,6)

    • 2 years ago
  18. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1332967959443:dw|

    • 2 years ago
  19. princesskks
    Best Response
    You've already chosen the best response.
    Medals 0

    ok so now we have what we need to find the locus ? @benice

    • 2 years ago
  20. benice
    Best Response
    You've already chosen the best response.
    Medals 0

    yes find that line equation and your done

    • 2 years ago
  21. princesskks
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh you see i didnt even know you responded back -__ - what is the formula for line equation ? @benice

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.