### The Gradient of a Straight Line Graph

The gradient (slope) of the a straight line is:

**(1)** y = ax + c

a is the gradient

**(2)** ax + by = c

−a/b is the gradient

- Example 1. Find the gradient of the graph y = x
- Example 2. Find the gradient of the graph y = x + 2
- Example 3. Find the gradient of the graph y = 2x + 3
- Example 4. Find the gradient of the graph 4y − 4x = 3

**(a)** From example 1 of Straight Line Graphs is

**(b)** Work out the gradient. From the graph every time x increases by 1, y increases by 1 so

**(a)** From example 2 of Straight Line Graphs is

**(b)** Work out the gradient. From the graph every time x increases by 1, y increases by 1 so

**(a)** From example 3 of Straight Line Graphs is

**(b)** Work out the gradient. From the graph every time x increases by 1, y increases by 2 so

**(a)** From example 4 of Straight Line Graphs is

**(b)** Work out the gradient. From the graph every time x increases by 1, y increases by 1 so

to: