You asked

how does jesus's teaching on sabbath in the gospels relate to this command in exodus?

The passage, plainly, with room to sit with it.

Exodus 20:8-10

““Remember the Sabbath day, to keep it holy. Six days you shall labor, and do all your work; but the seventh day is a Sabbath to Yahweh your God. You shall not do any work in it, you, nor your son, nor your daughter, your male servant, nor your female servant, nor your livestock, nor your stranger who is within your gates.””

This passage is part of the Ten Commandments given by God to Moses and the Israelites at Mount Sinai. These commands formed the foundational law for their covenant relationship, outlining how they were to live as God's people in the wilderness and the land they were about to enter.

What does 'resting' truly mean in a world that often values constant activity?

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Read alongside it

Deuteronomy 5:12-15
This passage repeats the Sabbath command, adding a reason tied to the Israelites' liberation from slavery in Egypt.
Mark 2:27-28
Jesus declares, 'The Sabbath was made for man, not man for the Sabbath,' and that the Son of Man is 'lord even of the Sabbath,' emphasizing its purpose for human good.
Matthew 12:9-13
Jesus heals on the Sabbath, asking if it is lawful to do good or to save life, challenging a rigid interpretation of 'no work'.

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