Final answer:
The equation of the vertical plane perpendicular to the y-axis and through the point (2,3,4) is x = 2.
Step-by-step explanation:
To find the equation of the vertical plane that is perpendicular to the y-axis and passes through the point (2,3,4), we should note that a vertical plane with this property would have an equation that doesn't include the y variable, as it extends infinitely along the y-axis without changing its x and z coordinates. Thus, the equation only needs to define the position in the xz-plane. The given point has an x-coordinate of 2, meaning the plane is parallel to the yz-plane and crosses the x-axis at x = 2. Therefore, the equation of the plane is simply x = 2.
To find the equation of the vertical plane perpendicular to the y-axis and through the point (2,3,4), we need to understand that a vertical plane is defined by the x and z coordinates. Since it is perpendicular to the y-axis, the x and z coordinates remain constant. So, the equation of the vertical plane is x=2 and z=4.