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,
![x=k](https://img.qammunity.org/2023/formulas/mathematics/college/s0mtk2fr7mx68r3fzoqj6lgrk00ka8qlwh.png)
And the value of k here is the x-axis value of the point the line passes through.
So,
![x=-7](https://img.qammunity.org/2023/formulas/mathematics/college/lvk5kvk37o39xiby3yvk20443upwsjp2io.png)
So the equation of the line which is parallel to y-axis and passes through the point (-7,9) is,
![x+7=0](https://img.qammunity.org/2023/formulas/mathematics/college/reb7er0lc1321ncjx2hzc4tei2konyxoex.png)
So the required equation is x+7=0.