Amos 9:5 & 6

"The Lord, the Lord Almighty - he touches the earth and it melts, and all who live in it mourn; the whole land rises like the Nile, then sinks like the river of Egypt; he builds his lofty palace in the heavens and sets its foundation on the earth; he calls for the waters of the sea and pours them out over the face of the land - the Lord is his name." NIV translation

Israel is reminded that it is God who controls everything even the rains that cause the Nile to overflow its banks. 

His place is higher than all the earth and He knows what is best.

Amos 9:7

"'Are not you Israelites the same to me as the Cushites?' declares the Lord. 'Did I not bring Israel up from Egypt, the Philistines from Caphtor and the Arameans from Kir?'" NIV translation

God's people are reminded that they are like the other nations in the fact that they, too, will be judged. There was the attitude that, because they were His chosen people, He would never judge them with His wrath. The same thing happens today in the church as there are many that trust in their membership at a place of worship instead of their relationship with Jesus Christ.

Amos 9:8

"'Surely the eyes of the Sovereign Lord are on the sinful kingdom. I will destroy it from the face of the earth. Yet I will not totally destroy the descendants of Jacob,' declares the Lord." NIV translation

We see that God promised to keep a remnant but remove the kingdom from the earth. This was fulfilled as the northern kingdom was destroyed but some of the people (a remnant) was preserved. When they returned to the land it was not as the "northern kingdom" of Israel but as the unified Israel once again.