Question

find the distance between the points given below. (5,7),(7,7)

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 \(x_1 = 5,y_1=7,x_2 = 7,y_2 = 7\). Substitute into the formula: \(d=\sqrt{(7 - 5)^2+(7 - 7)^2}\).

Step3: Simplify the expression

First, calculate \((7 - 5)^2=2^2 = 4\) and \((7 - 7)^2=0^2=0\). Then \(d=\sqrt{4+0}=\sqrt{4}\).

Step4: Calculate the square - root

Since \(\sqrt{4}=2\).

Answer:

\(2\)