Question

Please help thank you!!!!!!

Answer 1

The equation of the line is x = 2

Explanation:

* It is a coordinate geometry problem.

We need to find the equation of a line with undefined slope.

* The slope is undefined

The line passing through point (2 , 5)

* The rule to find the slope is
`(y_(2)-y_(1))/(x_(2)-x_(1))`

The slope is undefined if
`x_(2)-x_(1)=0`

That means the line passing through points have same x-coordinate

That means the line is vertical

* ∵ The line passing through point (2 , 5)

∵ The slope of the line is undefined

∴ All the points on the line have x-coordinate = 2

∴ The equation of the line is ⇒ x = 2

* The answer is x=2