MHB IBV16 Find a vector equation for the line

[karush]

View attachment 1230

$\pmatrix{x \\ y} = \pmatrix{1 \\ 3} + t \pmatrix{5 \\ 2}$

this should be simple but still seem to miss them, also didn't know if the x,y should be different?

 

[MarkFL]

What you have written looks good to me! :D

There are an infinite number of ways to write such a vector equation (as there are an infinite number of points on the line), but the one you chose is one of them. As long as you have a point on the line and the correct direction, you have described the line correctly.