Determine Whether the Lines Given Below Intersect, And, If So $$\begin{array} { l } x = - 6 + 2 t , y = 9 + 4 t , z = - 13 + 3 t \\x = 4 + 2 s , y = 25 + 2 s , z = 2 + 3 s\end{array}$$

Multiple Choice

Determine whether the lines given below intersect, and, if so, find the point of intersection. $$\begin{array} { l } x = - 6 + 2 t , y = 9 + 4 t , z = - 13 + 3 t \\x = 4 + 2 s , y = 25 + 2 s , z = 2 + 3 s\end{array}$$

A) The lines intersect at $( - 4,24 , - 4 )$ .
B) The lines are parallel.
C) The lines intersect at $( 3,24 , - 7 )$ .
D) The lines intersect at $( 0,21 , - 4 )$ .
E) The lines are not parallel but do not intersect.