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

Jun 18, 2015

$x$-intercept: $\left(5 , 0\right)$
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 $\left(5 , 0\right)$ 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 $\left(5 , 0\right)$.

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.