Question

find the distance between the points given below. (1,0),(1,6)

Explanation:

Step1: Identify the formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

Step2: Substitute the values

Here \(x_1 = 1,y_1=0,x_2 = 1,y_2 = 6\). Substitute into the formula: \(d=\sqrt{(1 - 1)^2+(6 - 0)^2}\).

Step3: Simplify the expression

First, \((1 - 1)^2=0\) and \((6 - 0)^2 = 36\). So \(d=\sqrt{0 + 36}\).

Step4: Calculate the square - root

\(\sqrt{36}=6\).

Answer:

\(6\)