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

1 Answer

Answer:

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#