Question

question 5 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{(x_2 + x_1)^2 - (y_2 + y_1)^2}\\)

d. \\(\sqrt{(y_2 - y_1)^2 - (x_2 - x_1)^2}\\)

Explanation:

State the distance formula definition

$$ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$

Match with the given options

$$ \text{Option A: } \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$

Answer:

• (A) \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) (Correct answer)
• (B) \(\sqrt{(x_2-x_1)+(y_2-y_1)}\)
• (C) \(\sqrt{(x_2+x_1)^2-(y_2+y_1)^2}\)
• (D) \(\sqrt{(y_2-y_1)^2-(x_2-x_1)^2}\)