1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Linear Algebra question

  1. Jan 11, 2007 #1
    1. The problem statement, all variables and given/known data

    Find a Cartesian equation for the line p + tv, where p=<2,5> and v=<-3,1>

    2. Relevant equations

    3. The attempt at a solution

    I know the vector form will look likse <2,5>+t<-3,1>. But I'm not sure how to use this information to find the equation of the line in y=mx+b form.
  2. jcsd
  3. Jan 11, 2007 #2
    Just substitute two points into the line y=mx+b to find m and b. Also, the slope m can be obtained immediately from the direction vector v.
  4. Jan 12, 2007 #3


    User Avatar
    Homework Helper

    Or, if you write the vector form in components, eliminate t from this system:

    \left\{ \begin{array}{l}
    x = 2 - 3t \\
    y = 5 + t \\
    \end{array} \right.
  5. Jan 12, 2007 #4


    User Avatar
    Science Advisor

    Now, solve one equation for t and (I recomment y= 5+ t) and substitute that into the other equation.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook