# Linear Algebra question

## Homework Statement

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

## 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.

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.

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

$$\left\{ \begin{array}{l} x = 2 - 3t \\ y = 5 + t \\ \end{array} \right.$$

HallsofIvy