To determine the equation of a vertical line that passes through a specific point, it is important to understand the properties of vertical lines in a coordinate plane. A vertical line has the same x-coordinate for every point on the line.
Given the point (3, 5), we can see that the x-coordinate is 3. Therefore, the equation of the vertical line passing through this point will be based solely on this x-coordinate.
The equation of the vertical line can be expressed as:
x = 3
In this equation, ‘x = 3’ indicates that no matter what the value of ‘y’ is, the line will intersect the x-axis at 3. As a result, for any value of ‘y’, the line remains vertical and continues indefinitely upwards and downwards through the point (3, 5).
To summarize, the equation of the vertical line that passes through the point (3, 5) is:
x = 3