What is the equation of the line that passes through the point \( (5,3) \) has an undefined slope?

When a line has an undefined slope, it means that it is a vertical line. Vertical lines can be described with the equation \( x = a \), where \( a \) is the x-coordinate of any point the line passes through. Since your line passes through the point \( (5,3) \), the equation of this vertical line is \( x = 5 \). A vertical line will run parallel to the y-axis, making it impossible to calculate the slope in the traditional sense since it can’t be defined. Imagine it like an elevator; it can only go up and down (or be in one spot infinitely!) and never left or right!