Linear Algebra question

  • Thread starter Jeann25
  • Start date
  • #1
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Homework Statement



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

Homework Equations





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.
 

Answers and Replies

  • #2
112
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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.
 
  • #3
TD
Homework Helper
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Or, if you write the vector form in components, eliminate t from this system:

[tex]
\left\{ \begin{array}{l}
x = 2 - 3t \\
y = 5 + t \\
\end{array} \right.
[/tex]
 
  • #4
HallsofIvy
Science Advisor
Homework Helper
41,833
964
Now, solve one equation for t and (I recomment y= 5+ t) and substitute that into the other equation.
 

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