The gradient, *m*, of a line is also known as the slope of the line. This is defined by:

Where the rise is the increase in the vertical axis (y), and the run is increase in the horizontal axis (x). This is demonstrated below:

Since the rise and run are taken to be the differences between the two points, then the gradient can also be defined as:

When finding the equation of a straight line, sometimes it is convenient to rearrange this so that it is in the form:

**See also:**

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