# How do you find the slope given y=3?

Mar 26, 2018

Slope is $0$,

#### Explanation:

Slope of a line in the form of $y = m x + b$ is $m$, and is found by,

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

We have the equation $y = 3$, which means that the $y$ value is constant, and so,

$m = \frac{3 - 3}{{x}_{2} - {x}_{1}}$

$= \frac{0}{{x}_{2} - {x}_{1}}$

$= 0$

So, the slope is $0$.

graph{y=0x+3 [-10, 10, -5, 5]}

As you can see here, there is no change in $y$ from $x$, and so no slope exists.