Make use of the distance formula to determine the length of \( 1 P Q \) \( \qquad \)

To find the length of segment \( PQ \) using the distance formula, you can use the equation \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \), where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of points \( P \) and \( Q \), respectively. For example, if \( P(1, 2) \) and \( Q(4, 6) \), you would substitute the values to find \( d = \sqrt{(4 - 1)^2 + (6 - 2)^2} = \sqrt{9 + 16} = 5 \). By visualizing point placements on a coordinate grid, you can make more sense of the distance formula's functionality. If you sketch points \( P \) and \( Q \), it becomes clear how they relate to one another in both horizontal and vertical terms—this can help prevent common errors such as accidentally switching coordinates or miscalculating squares and square roots!