Finding the parametric form of a tangent line vectors

[Wm_Davies]

Homework Statement

Find the parametric form for the tangent line to the graph of y=2x2−5x+3 at x=2 is

Homework Equations

I have no clue!

The Attempt at a Solution

I found the tangent line to be y=3x-5

I know that the answer has to be in the form...

<x0,y0>+t<x1-x0,y1-y0>

I have absolutely no idea what is x0,y0,x1, or y1.

So I am just really confused on how to put it in the requested form.

 

[Dick]

There are a lot of choices for x0, y0, x1 and y1. Pick any two points on your tangent line. Put x=2 and get y=1. So (2,1) is a choice for (x0,y0). Pick x=3. What do you get for y? That's a choice for (x1,y1). There's no one form for a parametric line. Pick any two points you want.

 

[Wm_Davies]

Thank you Dick. That actually makes a lot of sense! I was just making the problem too hard (as usual).