Determine whether the lines

$L_1$:$\frac{x-6}{2}=\frac{y-16}{6}=\frac{z-10}{2}$

and

$L_2$:$\frac{x+6}{3}=\frac{y+18}{8}=\frac{z+6}{5}$

intersect, are skew, or are parallel. If they intersect, determine the point of intersection; if not leave the remaining answer blanks empty.

The lines

Point of intersection:

Hint: