Question

complete the sentence below. the distance d between two points p1=(x1,y1) and p2=(x2,y2) is d = ______. the distance d between two points p1=(x1,y1) and p2=(x2,y2) is d =

Explanation:

Step1: Recall distance - formula principle

The distance formula is derived from the Pythagorean theorem.

Step2: State the distance formula

The distance $d$ between two points $P_1=(x_1,y_1)$ and $P_2=(x_2,y_2)$ is given by $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Answer:

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