# How do you find the slope given 2y = 8x − 3?

Apr 10, 2016

The gradient of the line is 4.

#### Explanation:

Consider the Gradient Form of a linear equation:

$y = m x + c$
Where $m$ is the gradient of the slope.
and $c$ is the constant term (effectively the $y$ intercept)

$2 y = 8 x - 3$
$y = \frac{8 x - 3}{2}$
$y = 4 x - \frac{3}{2}$
Therefore, by inspecting the coefficient of $x$ (the $m$ term), we can see that the gradient of the line is 4.