# How do you find a standard form equation for the line with (6, -1) and the slope is undefined?

Apr 18, 2018

$x = 6$

#### Explanation:

$\text{A line with an undefined slope indicates that the line}$
$\text{is vertical and parallel to the y-axis. It passes through}$
$\text{all points in the plane with the same x-coordinate}$

$\text{For this reason it's equation is } x = c$

$\text{where c is the value of the x-coordinate of the points}$
$\text{it passes through}$

$\text{here } \left(\textcolor{red}{6} , - 1\right) \Rightarrow c = 6$

$\text{the equation is therefore } x = 6$
graph{y-1000x+6000=0 [-10, 10, -5, 5]}