How to draw a line using y = mx +b in java?

Question

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

Answer 1

You also need to consider how to map from physical (x, y) coordinates to screen (u, v) coordinates.

Transforming from Ax + By = C is mere high school algebra:

1. Subtract Ax from both sides: By = C - Ax
2. Divide both sides by B: y = (C/B) - (A/B)x
3. By inspection, m = -(A/B) and b = (C/B). Obviously, B != 0.