So I have a program that solves a system of linear equations, but that is not relevant. So what happens is that my program pass two linear equations in the form of: y = mx +b. I
drawLine draws a line between two points. So all you need to do is get two points from your equation and pass them into drawLine.
Example:
x1 = 0
x2 = 10
y1 = m*x1 + b
y2 = m*x2 + b;
g2d.drawLine(x1, y1, x2, y2);
Of course this will draw a line segment between the two points. So you need to figure out which segment of the line you are interested in actually drawing and pick you x values accordingly.