Question

Find the equation of the line passing through $(-5,7)$ and parallel to :
$y-$axis

Answer 1

The equation of a line parallel to $y$ axis is $x=a$ where $a$ is $x$ intercept.

As a line passes through the point $(-5,7)$ the value of $a$ for this equation is $-5$.Thus, the equation of the line is $x=-5$

$\therefore x+5=0$ is the equation of the line parallel to $y-$ axis and passing through $(-5,7)$