# How do you identify the slope for x - 2y = 4?

##### 1 Answer
Apr 7, 2015

Let's remember the general linear equation of $y = m x + c$
We have to arrange $x - 2 y = 4$ into the form of $y = m x + c$

$x - 2 y = 4$
$- 2 y = - x + 4$

We have to ensure that the coefficient of y is 1 to get linear equation.

$- 2 y = - x + 4$ From here, we divide the whole equation by -2

$\frac{- 2 y}{-} 2 = \frac{- x + 4}{-} 2$
$y = \frac{1}{2} x - 2$

Let's refer to the general linear equation: $y = m x + c$ where $m$ is the slope of a line.
$y = \frac{1}{2} x - 2$
From here, we can see that $\frac{1}{2}$ is in the place of $m$ as the slope.
Thus, $m = \frac{1}{2}$