Question

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

Answer 1

A horizontal line at `y=-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=-3/2=0x-3/2`

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

`(0,-3/2), (1,-3/2),(-1,-3/2)` and that looks like this:

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

The graph, no matter the value of x, has `y=-3/2`