The problem gives the equation of a line as $3y = 12x - 6$. We are asked to find the gradient (slope) of the line.

1. Problem Description

The problem gives the equation of a line as $3y = 12x - 6$. We are asked to find the gradient (slope) of the line.

2. Solution Steps

To find the gradient of the line, we need to rewrite the equation in the slope-intercept form, which is $y = mx + c$, where $m$ is the gradient and $c$ is the y-intercept.

We start with the equation $3y = 12x - 6$.

Divide both sides of the equation by 3:

$y = \frac{12x}{3} - \frac{6}{3}$

$y = 4x - 2$

Now the equation is in the form $y = mx + c$, where $m$ is the gradient. By comparing this with the equation $y = 4x - 2$, we can see that the gradient is

4.

3. Final Answer

The gradient of the line is 4.