# How do you find the equation of the line through the point (6 , -1) and is perpendicular to the y axis?

##### 2 Answers
May 20, 2018

The equation would be $y = - 1$.

#### Explanation:

Since the line is perpendicular to the $y$-axis, it will be a horizontal line that runs through $\left(6 , - 1\right)$.

In this case, the $x$-coordinate doesn't matter; no matter what, if the line is horizontal to the $y$-axis, it will be horizontal, and thus it will be the same value regardless of the $x$-value.

In this case, the $y$-value is $- 1$ throughout the line.

May 20, 2018

$y = - 1$

#### Explanation:

A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

In this case the line goes through the point $\left(x , y\right) = \left(6 , - 1\right)$ so it has a y value of -1 since the line is horizontal that y value must also be the y intercept so the equation is:

$y = - 1$