Question

what is the distance between the points (5, 35) and (5, 23) in the coordinate plane?
a. 58 units
b. 30 units
c. 12 units

Explanation:

Step1: Identify the distance formula for points with same x - coordinate

For two points \((x_1,y_1)\) and \((x_2,y_2)\) with \(x_1 = x_2\), the distance \(d=\vert y_1 - y_2\vert\). Here \(x_1=x_2 = 5\), \(y_1 = 35\), \(y_2=23\).

Step2: Calculate the distance

\(d=\vert35 - 23\vert=\vert12\vert = 12\)

Answer:

C. 12 units