Walking represents living, and usually means living according to the true things taught to us by the Lord -- to "walk in His ways." When the Lord is pictured walking, it means life itself.

2047. 'Throughout your generations' means the things that comprise faith. This is clear from the meaning of 'generations' and of 'descendants' as those things that comprise faith, dealt with in 613, 1145, 1255, 2020, 2035.