Question

What is the slope and equation of a line parallel to the y-axis passing through point (2,-5)

Answer 1

Answer: $x=2$

Step-by-step explanation:

Given

Line passes through $(2,-5)$

and parallel to y-axis

If a line is parallel to another line then they must possess same slope

slope of y-axis is $\tan 90^{\circ}$

Now Equation of line is given by

$\Rightarrow \dfrac{y-(-5)}{x-2}=\tan 90^{\circ}$

we know $\tan 90 \rightarrow \infty$

$x-2$ must be zero for $\dfrac{y-(-5)}{x-2}\rightarrow \infty$

So, $x=2$ is the equation of required line