is x=1 a linear function?

Answer 1

I'm going to disagree with the other answer and say that x = 1 is not a linear function because it is not a function, at least not in the usual way that a function is written. The usual mathematical convention during algebra 1 is that a function (most often called f(x)) takes in x as an input and outputs some value. There can only be one output for any given inputted x. However, if you were to graph x = 1, you would see that there are infinite y-value outputs for x = 1.

Another way to think about a function in the way that it is defined in algebra 1 is that it has to satisfy the vertical line test. That is, any vertical line cannot touch the graph of a function in more than one place. In this case, a vertical line could touch x = 1 infinitely, making it not a function.

But if you were to defy normal convention and set y as the independent variable and x as the dependent, then this could be a function.

Answer 2

Yes, it is a vertical line, passing through the x axis at 1. Another way to think about it is: it is a line and the x value is always 1, the y can be anything.