Question

What is the distance between the points M(-8,11) and N(3,7)?

Answer 1

$\text{Given that,}\\\\(x_1,y_1) = (-8,11)~~\text{and}~~ (x_2,y_2) = (3,7)\\\\\text{Now,}\\\\\text{Distance,}~ d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{(3+8)^2 +(7-11)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{11^2 + (-4)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{121+16}\\\\~~~~~~~~~~~~~~~=\sqrt{137}\\\\~~~~~~~~~~~~~~~\approx 11.705~\text{units.}$