write an equation for line parallel to the y axis through the point (-5,0)

Question

write an equation for line parallel to the y axis through the point (-5,0)

Answer 1

This equation will be a vertical line.  Vertical lines have a constant x-coordinate no matter what the y-coordinate is.  Since the line passes through the point (-5, 0), we simply take the x-coordinate of this point.

 

The equation of this line is       x = -5

Answer 2

The line must be vertical, so will have equation x = a, where a is the x-coordinate of any point on the line. Here, x = -5 from the given point, so the equation is:

 

x = -5.