Question

what is the distance formula? a. \\(\sqrt{(y_2 - y_1)^2 - (x_2 - x_1)^2}\\) b. \\(\sqrt{(x_2 + x_1)^2 - (y_2 + y_1)^2}\\) c. \\(\sqrt{(x_2 - x_1) + (y_2 - y_1)}\\) 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 2D coordinate plane is derived from the Pythagorean theorem. It calculates the straight-line distance by taking the square root of the sum of the squared differences of their corresponding coordinates.

Answer:

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