Question

The distance between the points $(x_1,y_1)$ and $(x_2,y_2)$ is

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

Answer 1

The correct option is D $\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

The distance formula, which is an application of the Pythagorean theorem, is used to calculate the distance between two points.

To get the distance between any two points $(x_1,y_1)$ and $(x_2,y_2)$, apply the Pythagorean theorem as
$=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$