An Increment is defined as the change between coordinates, say P(x1, y1) and P(x2, y2), with respect to each axis.
The results will be either positive, negative or zero. Each of these results will tell you which direction a point is moving along the associated axis.
General Experience Notes
When working any problem, begin writing out all the information that is known from the problem. Then write the formulas you will need to solve the problem.
For each problem worked, start out writing this. Every time you do this, it will make it a habit, which will improve your memory of the formula(s) for the various problems you work. As you progress in mathematics, this habit will help you stay organized. Writing out the necessary formula(s) will also help you to see what you need to do to find the solution.
Example Problems and Solutions
Below are problems from my Calculus book (ref on Mathematics page)
Comments and Advice
Notice, I wrote out what was given and each of the definitions of the items I needed to find. I also put a box around my answers to signify these are my final results.
Also you will notice that I start a new line every time I do something different. When you are starting out or wanting to improve your math skills this is a good habit to get into. It helps you see possible mistakes along the way. Some teachers will consider this “showing your work”. Spend the time doing it right and the habits will pay off.
