Determine whether the lines

$L_1$:$\frac{x-22}{6}=\frac{y+1}{1}=\frac{z-7}{2}$

and

$L_2$:$\frac{x+10}{7}=\frac{y+10}{3}=\frac{z+9}{5}$

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: $($

$$