Question

complete the sentence below
the distance d between two points ( p_1=(x_1,y_1) ) and ( p_2=(x_2,y_2) ) is ( d= )
the distance d between two points ( p_1=(x_1,y_1) ) and ( p_2=(x_2,y_2) ) is ( d= )

Explanation:

Step1: Recall the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is derived from the Pythagorean theorem.

Step2: Write the formula

The formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Answer:

\(\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)