The gradient tells us how steep a line is, therefore the bigger the gradient the steeper the line is.

A **positive gradient** is a straight line which slopes **up** to the right.

A **negative gradient** is a straight line which slopes **down** to the right.

**Parallel lines** have the **same gradient**

**Vertical lines** have a gradient which is **undefined**

Equation

**Horizontal lines** have a gradient of **zero**

Equation

One of the formulae used to find the gradient of a straight line is:

**Now try some example questions.**

- Question
The community centre is getting a new ramp onto their side entrance.

Calculate the gradient of the ramp using the diagram below.

The gradient can be worked out as a simplified fraction or a decimal fraction. Gradient is positive since the line slopes up to the right.

or

- Question
Calculate the gradient of the line shown below.

Gradient is negative since the line slopes down to the right.

- Question
Calculate the gradient of the slope below.

Gradient is negative since the line slopes down to the right.

- Question
Calculate the gradient of the slope below.

Gradient is positive since the line slopes up to the right.