# What is the Slope of a Line

**The slope** or **Rate of Change** of a line is a measurement of the rate at which it rises or falls. A rising line has a positive slope whereas a falling line has a negative slope. More specifically, slope is a number that is a ratio that describes the steepness of a line. The larger the absolute value of the slope, the steeper the line and vice versa.

**RISE** is how much a line goes up or down.

**RUN** is how much a line moves left or right.

**Example** A line with a slop of

A slope of means that every time the line rises 2, it also runs 1.

## Types of Slope of a Stright Line

Generally, there are four types of slope of a line, namely positive, negative, zero slopes and undefined slope. Let's see in detail each type separately:

**Positive Slope:** rises (increasing) from left to right.

**Negative Slope:** falls (decreasing) from left to right.

**Zero Slope:** is horizontal because the rise is 0, and 0 divided by any number is 0.

**Undefined Slope:** is a vertical line because the run is 0, and any number divided by 0 is undefined.

## 5 Things You Need to Know About Slope

Any time you move **UP**, that is a **POSITIVE RISE**.

Any time you move **DOWN**, that is a **NEGATIVE RISE**.

Any time you move **RIGHT**, that is a **POSITIVE RUN**.

Any time you move **LEFT**, that is a **NEGATIVE RUN**.

The slope is the **SAME** everywhere on a **STRAIGHT LINE**.

**Example1:**

In the graph below, the line rises 3 and runs 2.

**Example2:**

In the graph below, the line rises -2 and runs 3.