Please check and please explain if it is incorrect, even if it is correct. have a very vague understanding of it. Thank you.

Convert the following Cartesan equation to parametric and vector form

3x-5y=9

y=-9/5+3/5x

y=-6/5 + 3/5(x-1)

y=-6/5+3/5t

t=x-1

x=t+1

y=-6/5+3/5t

How to write it in a vector form?

Thank you