The gradient of a line can easily be stated by looking carefully at its equation.

For the line with equation y = mx + c, the gradient is m.

m is the coefficient of x **when in the form y = ......**

**Example**

State the gradient of the line with equation y = 2x + 1

**Answer**

Comparing y = 2x + 1 to y = mx + c, we see that m = 2

The gradient of the line, m, is **2**.

**Check**

The line is shown below.

** y = 2x + 1**

**Note **

The equation y = 2x + 1 can be rewritten in several ways as shown below.

They all represent the SAME line.

y = 1 + 2x

y - 1 = 2x

x = ½ (y - 1)