# How do I graph y=-3/2?

A horizontal line at $y = - \frac{3}{2}$. See below for the graph and explanation.

#### Explanation:

I'm going to rewrite this equation in slope-intercept form and then talk about it:

$y = - \frac{3}{2} = 0 x - \frac{3}{2}$

I've added the $0 x$ here to help indicate what the graph is saying, which is "no matter what the value of $x$ is, $0 x$ will always be 0 and therefore the graph will always be at $y = - \frac{3}{2}$. If we were to do a quick table of values, we could have:

$\left(0 , - \frac{3}{2}\right) , \left(1 , - \frac{3}{2}\right) , \left(- 1 , - \frac{3}{2}\right)$ and that looks like this:

graph{0x-3/2 [-10, 10, -5, 1]}

The graph, no matter the value of x, has $y = - \frac{3}{2}$