Question

find the distance between the pair of points.
n( -5, -14), p( -5, -2)

d = \boxed{ } (simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

Step1: Identify coordinates

Points \( N(-5, -14) \) and \( P(-5, -2) \). So \( x_1 = -5, y_1 = -14, x_2 = -5, y_2 = -2 \).

Step2: Apply distance formula (vertical line)

Since \( x_1 = x_2 \), distance \( d = |y_2 - y_1| \).
\( d = |-2 - (-14)| = |12| = 12 \).

Answer:

\( 12 \)