Find the distance d (A, B) between the points A (1, - 1) and B (8, 1).
A)7.28
B)6.28
C)6.98
D)7.78
E)7.18

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a plane is given by the formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. For points A $(1, -1)$ and B $(8, 1)$, the distance is $d = \sqrt{(8 - 1)^2 + (1 - (-1))^2} = \sqrt{7^2 + 2^2} = \sqrt{49 + 4} = \sqrt{53}$, which is approximately 7.28.

Find the Distance D (A, B) Between the Points a (1