Question

question 4 of 10 what is the distance formula? a. $sqrt{(x_{2}+x_{1})^{2}-(y_{2}+y_{1})^{2}}$ b. $sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ c. $sqrt{(y_{2}-y_{1})^{2}-(x_{2}-x_{1})^{2}}$ d. $sqrt{(x_{2}-x_{1})+(y_{2}-y_{1})}$

Explanation:

Step1: Recall distance formula concept

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ in a two - dimensional plane is derived from 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 matches option B.

Answer:

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