# What is the slope of the line y=1/2?

May 3, 2018

The slope of the line is 0 because it'll be a straight horizontal line with a y-intercept of 1/2.

#### Explanation:

$y = m x + b$
$y = \frac{1}{2}$

May 3, 2018

$0$

#### Explanation:

Slope is defined by $\text{rise"/"run}$

First, let's graph $y = \frac{1}{2}$:

As you can see, $y = \frac{1}{2}$ is a horizontal line, as the $x$ value is always constant, it never changes.
Everytime a graph is a horizontal line, that means the slope is $0$. The reason behind this is because $\text{rise"/"run}$ would mean $\frac{0}{1}$, which equals $0$.
Therefore, the slope is $0$.