One line can have only one slope. It is possible to draw more than one line on a single graph, however.
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No. If you have more than two points for a linear function any two points can be used to find the slope.
It is a straight line equation in the form of: y = -2x+6
A graph can be more useful for making presentations because it is more visual, and it can be easier to recognize a pattern in a graph for the same reason. However, a graph doesn't have any more data than a table with the same data.
You will obtain a more accurate answer than is possible using graphical methods. It's faster and less work than using a table.
A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.