2) Passes through the points \( P_{1}(2,5) P_{2}(2,-2) \)

The line that passes through the points \( P_{1}(2,5) \) and \( P_{2}(2,-2) \) is a vertical line because both points share the same x-coordinate. This means its equation is simply \( x = 2 \). Since vertical lines have an undefined slope, they don't conform to the typical slope-intercept form \( y = mx + b \) as \( m \) (the slope) would be infinitely large. Interestingly, vertical lines can represent real-world scenarios too! Imagine a tall building standing straight up; regardless of how many stories it has, the base of the building is still the same x-coordinate. Thus, if you take a position at \( x=2 \), you'll encounter a straight vertical structure, regardless of height differences, just like our line connecting \( P_1 \) and \( P_2 \).