What is the equation of the line with an undefined slope and goes through the point (2,4)?

Solution:

Given that, the equation of the line is with an undefined slope and goes through the point (2, 4).

Note: If the line has slope zero and passes through the point (h, k) then its equation is y = k.

⇒ If the line has an undefined slope then the line is parallel to the y-axis (perpendicular to the x-axis).

We have the equation of the vertical line passing through (h, k) and perpendicular to the x-axis as,

 x = h

Here, given that, (h, k) = (2, 4)

∴ The required equation will be x = h

⇒ x = 2.

What is the equation of the line with an undefined slope and goes through the point (2 , 4)?

Summary:

The equation of the line with an undefined slope and going through a point (2,4) is x = h = 2.