The graph of an equation is a visual representation of the values that satisfy the equation.
Depends what the graph is.
A table you make to find the coordinates to graph.
You could put the equation in slope-intercept form or in parent linear function or even make a table of values.
Any explanation will depend on whether or not the table of values and the graph are related to one another. Nothing in the question indicates that they are.
There are three ways: a table, a graph, and an equation.
The equation which remains true for each set of variables in the table.
I would set up a table of values and calculate several of the values of the variables (I would try to calculate the "interesting" values setting one to zero and calculating the other(s), guessing at a maximum or minimum value etc. Then I would plot the values on graph paper.
rule, table of values and graph
Just like any other equation, you can set up a table of x values, and calculate the corresponding y values. Then plot the points on the graph. In this case, it helps to have some familiarity with quadratic equations (you can find a discussion in algebra books), and recognize (from the form of the equation) whether your quadratic equation represents a parabola, a circle, an ellipse, or a hyperbola.
Graph and Table: http://i50.tinypic.com/szhr4k.png
A table, a graph, and an equation.