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`

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 (y-(-5))/(x-2)=\tan 90^(\circ)`

we know
`\tan 90 \rightarrow \infty`

`x-2` must be zero for
`(y-(-5))/(x-2)\rightarrow \infty`

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