Answer:
[tex]\text{The equation of line is }x=-4[/tex]
Step-by-step explanation:
Given that line is passing through the point (-4, 0) and parallel to the y-axis.
we have to find the equation of the line.
[tex]\text{As the slope of y-axis is }\infty\text{ i.e }\frac{1}{0}[/tex]
Since the slope of parallel lines are equal therefore we have to find the equation of line with slope infinity and passing through the point (-4, 0).
The equation of line pass through the point (x',y') with slope m is
[tex]y-y'=m(x-x')[/tex]
The equation of line with slope infinity and passing through the point (-4, 0) is
[tex]y-0=\frac{1}{0}(x-(-4))[/tex]
[tex]x+4=0[/tex]
[tex]x=-4[/tex]
which is required equation.
Hence, option 1 is correct.
