converting from cartesian to parametric form (1 Viewer)

[Run hard@thehsc]

Can someone help me with regard to this?
Like how would you convert a line y = 8x + 5 to a parametric form? thanks!!!

 

[Masaken]

let x = t
then just replace x in the Cartesian with t

x = t, y = 8t + 5

If I recall correctly this question has 'infinite' solutions as you can replace t with any other letter to be a parameter

 

[Drongoski]

y = 8x + 5

So, take any point on the line like (1, 13) or (0, 5)

Gradient m = 8 means x : y = 1 : 8 so a direction vector is

So a vector equation of y = 8x + 5 is:

Correction: I thought it was for a vector equation.

For my example, a parametric eqn would simply be:

 

[Eagle Mum]

Masaken started a more general thread on this topic earlier this year on which several members posted replies: https://boredofstudies.org/threads/what-is-the-purpose-of-parametric-equations.398619/#post-7421996.
Perhaps you might find it helpful.