If you have two lines, how could you describe that one line is more steep than the other line?

You could use **slope.**

Slope is the measure of the steepness of a line. It is defined as the ratio of the vertical change (rise) to the horizontal change (run). The slope of a line can be positive, negative, or zero.

A positive slope indicates that the line is rising from left to right. A negative slope indicates that the line is falling from left to right. A zero slope indicates that the line is horizontal and a vertical line has an undefined slope.

The slope of a line can be calculated using the following formula:

**Slope = rise / run**

Where:

rise is the vertical change between two points on the line

run is the horizontal change between two points on the line

Let’s take a look at the slope of this line

Let’s first find the rise which is 1, 2 and the run is 1 2 3 4

So the slope is 2/4

**m is used to represent slope.**

As you move from left to right the line goes upward so the** slope** is **positive. **

How about this line.

Notice that as you move from left to right the line slopes downward so the slope is **negative **Also notice the slope is greater than the first line and you can see line is more steep.

So in summary,** slope** is a measure of the steepness of a line.

The greater the **slope** the greater the steepness of the line and smaller the slope the smaller the **slope.**

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