Given:-
The line passes through (-7,9).
To find:-
Equation for a line that parallel to y-axis and passes through the point (-7,9).
The images of line which is parallel to y-axis is,
So if the line is parallel towards the y-axis then, the value of x-axis is equal.
That is,
[tex]x=k[/tex]And the value of k here is the x-axis value of the point the line passes through.
So,
[tex]x=-7[/tex]So the equation of the line which is parallel to y-axis and passes through the point (-7,9) is,
[tex]x+7=0[/tex]So the required equation is x+7=0.