Answer: [tex]x=2[/tex]
Step-by-step explanation:
Given
Line passes through [tex](2,-5)[/tex]
and parallel to y-axis
If a line is parallel to another line then they must possess same slope
slope of y-axis is [tex]\tan 90^{\circ}[/tex]
Now Equation of line is given by
[tex]\Rightarrow \dfrac{y-(-5)}{x-2}=\tan 90^{\circ}[/tex]
we know [tex]\tan 90 \rightarrow \infty [/tex]
[tex]x-2[/tex] must be zero for [tex]\dfrac{y-(-5)}{x-2}\rightarrow \infty[/tex]
So, [tex]x=2[/tex] is the equation of required line
