Answer:
The parametric equations for the line.x(t)=
y(t)=
z(t)=
is

Explanation:
From the question we are told that
the given equation is

This given equation can be represented as
![\= r (t) = [4 -3t , -5+t,3-t]](https://img.qammunity.org/2021/formulas/mathematics/college/ghvro2ivmvwej8bbjpq35lftdyqfrl6sjk.png)
Generally this equation can be represented in terms of the parametric equations as follows

This above equation is obtained by assigning each component of r(t) to each line