Oh, dude, each individual point on a graph is called a "vertex." It's like the cool kid at the party who stands out from the crowd, you know? So yeah, next time you see a point on a graph, just give it a little nod and say, "Hey there, vertex, doing your thing."
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It is simply called a point on the graph, or a solution to the equation represented by the graph.
The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.
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This graph is called the x graph.
The intersection of the individual graphs. In the simplest case, the graph for each equation consists of a line (or some curve); the intersection is the points where the lines or curves meet.
It can have any shape that you like. The main point is that it is repeated for each period.