Respuesta :
Since [tex] x=0 [/tex] is the equation of the y axis, a line parallel to this line is a vertical line.
In particular, vertical lines have the following type of equation:
[tex] x=k [/tex]
where [tex] k [/tex] is the value of the [tex] x [/tex] coordinate of any of the points belonging to the line.
In this case, we want a vertical line that passes through a point with [tex] x [/tex] coordinate equal to [tex] -2 [/tex], so every other point belonging to this line must have this same coordinate, and the equation of the line is thus
[tex] x=-2 [/tex]
Answer:
The problem is asking for a line that is parallel to x = 0, and pass though the point (-2;-1).
If the line is parallel to x = 0, that means that is a vertical line, because that reference is the y-axis.
So, all vertical lines just have one variable, because the only variate in one variable. For a general vertical line, the equation is [tex]x=k[/tex], where [tex]k[/tex] is a real number through which the line pass through.
If the problem says that the line pass through (-2;-1), then [tex]k=-2[/tex], and the linear equation is [tex]x=-2[/tex], that is, a vertical line, parallel to x = 0 and pass through (-2;-1).
