Geographic Border Locations:
Brook of Egypt
Sometimes translated as the "River of Egypt", it separated the land of Egypt from the land of Canaan. Today the Brook of Egypt is called the Wadi el-Arish. A Wadi is a stream bed that is sometimes dry and sometimes has water flowing through it, depending on the amount of rain in the area at any given time. The Wadi el-Arish is southwest of Gaza. The modern Egyptian city Al Arish sits just west of where the Wadi empties into the Mediterranean Sea.

This link lists every
verse in The Bible showing:
The
Brook Of Egypt @ The Border
Below is the list of every verse in The Bible
that mentions The Brook of Egypt in any context:
Gn 15:18
In that day Yahweh made a covenant with Abram, saying, “To your seed I have
given this land, from the river of Egypt to the great river, the river
Euphrates:
Nm 34:5
and the border shall turn about from Azmon to the brook of Egypt, and the
goings out of it shall be at the sea.
Jsh 15:4,47
4 and it passed along to Azmon, went out at the brook of Egypt; and the
border ended at the sea. This shall be your south border.
47 Ashdod, its towns and its villages; Gaza, its towns and its villages; to
the brook of Egypt, and the great sea with its coastline.
1Kg 8:65
So Solomon held the feast at that time, and all Israel with him, a great
assembly, from the entrance of Hamath to the brook of Egypt, before
Yahweh our God, seven days and seven days, even fourteen days.
2Kg 24:7
The king of Egypt didn’t come again out of his land any more; for the king of
Babylon had taken, from the brook of Egypt to the river Euphrates, all
that pertained to the king of Egypt.
1Ch 13:5
So David assembled all Israel together, from the Shihor the brook of
Egypt even to the entrance of Hamath, to bring the ark of God from
Kiriath Jearim.
2Ch 7:8
So Solomon held the feast at that time seven days, and all Israel with him, a
very great assembly, from the entrance of Hamath to the brook of Egypt.
Is 27:12
It will happen in that day, that Yahweh will thresh from the flowing stream of
the Euphrates to the brook of Egypt; and you will be gathered one by one,
children of Israel.
Ezk 47:19
The south side southward shall be from Tamar as far as the waters of Meriboth
Kadesh, to the brook of Egypt, to the great sea. This is the south
side southward.
Ezk 48:28
By the border of Gad, at the south side southward, the border shall be even from
Tamar to the waters of Meribath Kadesh, to the brook of Egypt, to
the great sea.
Am 8:8
Won’t the land tremble for this,
and everyone mourn who dwells in it?
Yes, it will rise up wholly like the River;
and it will be stirred up and sink again, like the River
of Egypt.
Am 9:5
For the Lord, Yahweh of Armies, is he who touches the land and it melts, and all
who dwell in it will mourn; and it will rise up wholly like the River, and will
sink again, like the River of Egypt.
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Topographic map created at www.marine-geo.org with labels added at BiblicalZionist.com