Question

question 3 of 10 what is the distance formula? a. $sqrt{(x_2 - x_1)+(y_2 - y_1)}$ 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. $sqrt{(x_2 + x_1)^2-(y_2 + y_1)^2}$

Explanation:

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ in a two - dimensional plane is derived from the Pythagorean theorem. It calculates the straight - line distance $d$ between the two points as $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Answer:

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