Question

Help with Vectors question?



Write the scalar equation of the line with parametric equations:
x=6-7t , y=-2+3t

Please show all work, Thanks :)

Answer 1

is this what you want: (6,-2) + t(-7,3)

No working really, just common sense really once you get to your equations. Works also for other vector equations too.

Answer 2

If you think its correct, I mean im not sure...

Answer 3

Well I pretty sure I am :). (6,-2) is the vector direction and t(-7,3) is just a multiple to get all the points along your lines

Answer 4

Ok, THANK YOU VERY MUCH THEN!! :)

Answer 5

No probs :)

Answer 6

Wait a sec, just googled and what I gave you is called a vector equation. I found this link:
http://answers.yahoo.com/question/index?qid=20080423102536AAj2qaF

and you're going the other way. To get the scalar equation you solve both of your equations for t, then make both of your t equation equal each other then solve for y.

So after that what I get is this:
\[y = -3x/7 - 8/7\]