Anybody have a good system for solving coordinate geometry that involves y-intercept, x-intercept, slopes. Basically problems that gives you one or two of these info. for two lines and you have to find others. These are not hard and so time consuming and easy to make a mistake like forgetting a case/scenario.

I've actually sat down and try various combinations. Doesn't appear there are any useful patterns. What is the best approach to attack these problems?