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: 
