Question

question 6 of 10
what is the distance formula?
a. $sqrt{(x_2 + x_1)^2-(y_2 + y_1)^2}$
b. $sqrt{(x_2 - x_1)+(y_2 - y_1)}$
c. $sqrt{(y_2 - y_1)^2-(x_2 - x_1)^2}$
d. $sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$

Explanation:

Step1: Recall distance formula concept

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ in a coordinate - plane is based on the Pythagorean theorem.

Step2: Identify correct form

The correct formula for the distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$, which is option D.

Answer:

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