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Most linear equations are functions (that is, for every value of x, there is only one corresponding value of y). When you assign a value to the independent variable, x, you can compute the value of the dependent variable, y. You can then plot the points named by each (x,y) pair on a coordinate grid.
An example of a linear equation is y=x+3. The graph of this equation is a straight line running parallel to the x-axis at y=3. Linear equations may produce lines of any slope or location, but they always produce straight lines. An example of a non-linear equation is y=x^2+3.