At the shoreline
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Yes, the continental slope drops downward to the edge of the continent at which point it plummets down for the depth of the continental plate. It depends upon whom you speak with, but a nation's boundary is generally considered 200 miles beyond that.
The world's combined continental slope is about 200,000 mi (300,000 km) long and descends at an average angle of about 4° from the edge of the continental shelf to the beginning of the ocean basins at depths of 330 - 10,500 ft (100 - 3,200 m). The slope is most gradual off stable coasts without major rivers and is steepest off coasts with young mountain ranges and narrow continental shelves. Slopes off mountainous coastlines and narrow shelves commonly have outcrops of rock. The dominant sediments of continental slopes are muds; there are smaller amounts of sediments of sand or gravel.
To find a slope you count how far away the coordinates are from each other on a graph. You begin counting at the point where it starts, and count until the next point. Example=the point is 6,3, and the next point is 9 down(15,3).
then the slope is x=y. there is no slope.
Examples of slope: http://www.answers.com/topic/slope http://en.wikipedia.org/wiki/Slope