Question

How do you find the intercepts for `x=5`?

Answer 1

`x`-intercept: `(5,0)`
The line does not intersect the `y`-axis.

Explanation:

The graph of `x=5` is merely a straight vertical line, crossing the`x`-axis at `(5,0)` To think about this intuitively, `x=5` just means that `x` will always equal 5. There is no dependency on `y` whatsoever- so no matter what `y` is, `x` will always be 5.

In terms of intersection, this means that `x=5` will never even intersect the `y`-axis. `x=5` is a vertical line parallel to the vertical `y`-axis. In terms of `x`-intercepts, you can quite simply read it off the equation- When `x` equals 5, it intersects the `x`-axis ( at the point where `y`=0). You can also see on the graph that the point of intersection is `(5,0)`.

Note that `x=5` is not a function however. It does not pass the vertical line test- There are several `y`-values for a single `x`-value.