Question
Find the line that is perpendicular to $ y = 3 $ and passes though the point $ \left(-2,~-4\right) $.
Answer
The equation of the line perpendicular to the given line that contains point $ A $ is:
$ \color{blue}{ x+2=0 }$ ( General form )
Slope y-intercept form does not exist
Explanation
The given line is horisontal ( it is parralel to y axis). This means that the perpendicular line has to be vertical.
The equation of a vertical line is $ x = x_0 $ for some conatant $ x_0 $.
Since the line passes throught point $ \left(-2,~-4\right) $, we can conclude that $ x_0 = -2 $, so the equation of perpendicular line is:
$$ \color{blue}{x = -2 }$$This page was created using
Parallel and perpendicular lines calculator