So this would be a negative over a positive, it would give you a negative number. Using the derivative as the slope of a linear equation that passes through that exact x, y point, the x-intercept is then calculated.
Linear equations are at the core of some of the most powerful methods to solve minimization and optimization problems. Minimization problems are a type of problem in which one would like to find how to make one of the variables as small as possible.
For a review of how this equation is used for graphing, look at slope and graphing. In general, any time that a function has an asymptote that lies on one of the axis, it will be missing at least one of the intercepting points. However, the reality is a bit different. Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information.
Make sure that when you add or subtract fractions that you generate a common denominator. Nowadays, you likely needn't worry too much about the "standard" forms; this lesson will only cover the more-helpful forms.
However, unlike humans, not all equations are equal. Content Continues Below Slope-Intercept Form The various "standard" forms are often holdovers from a few centuries ago, when mathematicians couldn't handle very complicated equations, so they tended to obsess about the simple cases.