Question

find the distance between the pair of points.
n(-2, -13), p(-2, -4)
d = \boxed{} (simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

Step1: Identify coordinates

Points \( N(-2, -13) \) and \( P(-2, -4) \). So \( x_1 = -2, y_1 = -13, x_2 = -2, y_2 = -4 \).

Step2: Apply distance formula (vertical line)

Since \( x_1 = x_2 \), distance \( d = |y_2 - y_1| \).
\( d = |-4 - (-13)| = |-4 + 13| = |9| = 9 \).

Answer:

\( 9 \)