Final answer:
The equation for a vertical line that passes through (3, 5) is x = 3, as the x-coordinate is constant for all points on a vertical line.
Step-by-step explanation:
The equation for a vertical line that passes through a given point has a unique format compared to the general y = mx + b form used for non-vertical lines. This is because a vertical line has an undefined slope; hence it does not fit the format where a slope (m) and intercept (b) are present. Instead, a vertical line is described purely based on its x-coordinate, which remains constant for any point on the line.
If a vertical line passes through the point (3, 5), all points on that line have an x-coordinate of 3. Therefore, the equation of the vertical line can be written as x = 3.