anonymous
  • anonymous
Finding a parametrization for a curve given the endpoints of (-1,3) and (3,-2) using slope?
Calculus1
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
dan815
  • dan815
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
dan815
  • dan815
lets start at point (-1,3) what slope do you need to hit point (3,-2)?
dan815
  • dan815
hint slope=(y2-y1)/(x2-x1)

Looking for something else?

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

More answers

anonymous
  • anonymous
-5/4
dan815
  • dan815
okay so this means that for 1 unit of x you have -5/4 units in y
dan815
  • dan815
we are start at -1,3 so we need to make sure x=-1 and y=3 at starting so at t=0
dan815
  • dan815
<-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 \[=<-1+t,3+\frac{-5}{4}t> \\ =<-1+t,3-\frac{5}{4}t>\]
dan815
  • dan815
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
dan815
  • dan815
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
dan815
  • dan815
|dw:1441069548792:dw|
dan815
  • dan815
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
dan815
  • dan815
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
anonymous
  • anonymous
okay that makes sense
anonymous
  • anonymous
thank you!!
dan815
  • dan815
you're welcome

Looking for something else?

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