I suspect that you have misrepresented your problem and that you really mean:
rather than
Be that as it may, you can use the same basic process either way.
Step 1: Pick a value for . It can be anything you like, but I recommend small integers -- it makes the arithmetic easier.
Step 2: Do the indicated arithmetic to determine the value of
Step 3: Create an ordered pair using the selected value from step 1 and the calculated value from step 2.
Step 4: Plot the point.
Step 5: Repeat steps 1 through 4 with a different value for .
If you actually meant the linear equation that I suggested above, then plotting two points is sufficient. Just draw a line all the way across your graph paper through the two plotted points. If the equation is what you actually represented, namely , then you have some more work to do. You will have to repeat step 5 several times and you will have to avoid selecting the value zero for at any time. Don't forget to pick some negative as well as positive values for so that you get both branches of your hyperbola. When you think you have plotted enough points, then draw smooth curves through the two sets of points.
John
My calculator said it, I believe it, that settles it
