Find the distance d (A, B) between the points A (4, - 6) and B (7, 3).
A)8.49
B)9.49
C)9.19
D)9.39
E)9.99

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, -6) and B(7, 3) into the formula gives $d = \sqrt{(7 - 4)^2 + (3 - (-6))^2} = \sqrt{3^2 + 9^2} = \sqrt{9 + 81} = \sqrt{90} = 9.49$.

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