Find the distance d (A, B) between the points A (4, - 7) and B (7, 6).
A)13.24
B)12.34
C)13.84
D)13.34
E)13.04

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 $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Substituting the given points A(4, -7) and B(7, 6) into the formula gives $d = \sqrt{(7 - 4)^2 + (6 - (-7))^2} = \sqrt{3^2 + 13^2} = \sqrt{9 + 169} = \sqrt{178} \approx 13.34$.

Find the Distance D (A, B) Between the Points a (4