A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Finding a parametrization for a curve given the endpoints of (-1,3) and (3,-2) using slope?

  • This Question is Open
  1. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay so they want u to use a slope so, im gonna guess jut a constant slope and it is a line connecting through these points

  2. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lets start at point (-1,3) what slope do you need to hit point (3,-2)?

  3. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hint slope=(y2-y1)/(x2-x1)

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -5/4

  5. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay so this means that for 1 unit of x you have -5/4 units in y

  6. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    we are start at -1,3 so we need to make sure x=-1 and y=3 at starting so at t=0

  7. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    <-1+t,3+t> <---- is a start now we have to make sure the slope condition is satisfied for 1 change in x, we have -5/4 change in y so vector in form <x,y> \[<x,y>=<-1+t,3+\frac{-5}{4}t> \\ =<-1+t,3-\frac{5}{4}t>\]

  8. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    this is only 1 representation of this vector, there are multiple other ways of saying this same thing, to see if they all mean the same thing, you have to satisfy 2 things, if the direction of travel is the same (i.e same unit vector direction) and that there is a common point between the other representations

  9. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    because what u have defined here is not just a way to get from point -1,3 to 3,-2, but depending on whatever t you pick you have defined an infinite line

  10. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1441069548792:dw|

  11. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    just that saying this vector this way is a convenient form as you have the starting point at t=0 and ending point at t=1

  12. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but they will ask you questions like how do you get to the ending point when t=3 or some other number and starting point at different times and such

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay that makes sense

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you!!

  15. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you're welcome

  16. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.