Question

find the distance between the pair of points. a(0,2), b(0,11) d = \boxed{} (simplify your answer. type an exact answer, using radicals as needed)

Explanation:

Step1: Recall distance formula for vertical points

For two points \((x_1,y_1)\) and \((x_2,y_2)\), if \(x_1 = x_2\) (vertical line), distance \(d=\vert y_2 - y_1\vert\). Here, \(A(0,2)\), \(B(0,11)\), so \(x_1 = x_2 = 0\).

Step2: Calculate the distance

\(d=\vert11 - 2\vert=\vert9\vert = 9\)

Answer:

\(9\)