(Solved): Find parametric equations for the line. (Use the parameter \( t \).) The line through the points \( ...

Find parametric equations for the line. (Use the parameter \( t \).) The line through the points \( \left(0, \frac{1}{2}, 1\right) \) and \( (5,1,-4) \) \[ (x(t), y(t), z(t))= \] Find the symmetric equations. \[ \begin{array}{l} 5+5 x=1+\frac{y}{2}=-4-5 z \\ \frac{x+4}{-5}=2 y-2=\frac{z-5}{5} \\ \frac{x-5}{5}=2 y-2=\frac{z+4}{-5} \\ x-5=2 y-2=z+4 \\ 2 x-2=\frac{y-5}{5}=\frac{z+4}{-5} \end{array} \]