Question

calculate the distance between the points a = (-2, -1) and m = (5, -9) in the coordinate plane. round your answer to the nearest hundredth.

Explanation:

Step1: Identify distance formula

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

Step2: Substitute coordinates

$d=\sqrt{(5 - (-2))^2+((-9)-(-1))^2}=\sqrt{(7)^2+(-8)^2}=\sqrt{49 + 64}=\sqrt{113}$

Step3: Round result

$d\approx10.63$

Answer:

$10.63$