A first-order process is a process that has a rate proportional to the amount of the reactant involved in this process.

For example, if the dg elimination rate is proportional to the amount of the drug in the body, this means that this drug is eliminated by a first-order process. The proportionality constant is the first-order elimination rate constant. i.e.

Elimination rate = elimination rate constant x drug amount

The rate of drug elimination decreases with time because the amount of the drug remaining decreases with time.

The slope of a straight line is the rate of change of the dependent variable (the variable plotted on the Y-axis) relative to the change of the independent variable (the variable plotted on the X-axis). A straight line has one slope (constant slope), however the slope of a curve is changing at different points on the curve.

To determine the slope of a straight line, take two points on the line and determine the X and Y coordinates of each of these points. The slope can be determined from the following relationship: