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

The distance formula between two points in a 2 - D plane is derived from the Pythagorean theorem.
The horizontal distance between the points is $x_2 - x_1$ and the vertical distance is $y_2 - y_1$.
By the Pythagorean theorem, $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Answer:

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