Question

Calculate the distance between the points H=(-2, -5) and K=(-7, 1) in the coordinate plane.

Answer 1

Answer:

$d=\sqrt{61}$

Step-by-step explanation:

The distance is given by the expression$d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{[(-2)-(-7)]^2+[(-5)-(1)]^2} = \sqrt{(-2+7)^2+(-5-1)^2}=\sqrt{(5)^2+(-6)^2}=\sqrt{(25+36)}=\sqrt {61}$