What is the equation of the line that goes through $(5, - 6)$ $(5, -6)$ and is perpendicular to $y = 9$ $y=9$ ?

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Answer 1 · 2017-02-28T13:43:06

See the entire solution explanation below:

$y = 9$ $y = 9$ is a vertical line because it has a value of $9$ $9$ for each and every value of $x$ $x$ .

Therefore, a line perpendicular to the will be a horizontal line and $x$ $x$ will have the same value for each and every value of $y$ $y$ .

The equation for a horizontal line is $x = a$ $x = a$ .

In this case we are given the point $(5, - 6)$ $(5, -6)$ which has a value of $5$ $5$ for $x$ $x$ .

Therefore, the equation for the line in this problem is:

$x = 5$ $x = 5$

What is the equation of the line that goes through (5,−6)(5, -6) and is perpendicular to y=9y=9?