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

Jul 8, 2018

The slope of the line is 0.

#### Explanation:

Since the line is $y = 2$, that means it is a horizontal line. Slope is defined as $\text{rise"/"run}$. Since it is horizontal, there is no rise, only a run, which is a constant, $2$. Therefore, it is $\frac{0}{2}$, or $0$.

The slope of the line is 0.

Hope this helps!

Jul 8, 2018

Slope=$0$

#### Explanation:

$y = 2$ is a horizontal line, which has a slope of zero.

To make this more intuitive, slope is defined as change in $y$ over change in $x$, and since we have an equation of the form

$y = c$

$x$ is the only variable that is changing, as $y$ is always equal to $2$. Since we have no change in $y$, we have no "rise", therefore the slope is zero.

graph{y=0x+2 [-11.16, 11.34, -6.435, 4.815]}

Hope this helps!