What is an equation of the line that passes through the points \( (2,3) \) and \( (2,7) \) ?

The line that passes through the points \( (2,3) \) and \( (2,7) \) is a vertical line. Vertical lines are defined by an equation of the form \( x = k \), where \( k \) is the x-coordinate of any point on the line. Since both points share the same x-coordinate of \( 2 \), the equation of the line is \( x = 2 \). Vertical lines do not have a slope in the traditional sense, as they would have an undefined slope. In practical terms, this means that for any value of \( y \), when \( x = 2 \), you will always be on this line!