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### The Distance Formula

Posted: June 14th, 2011, 7:31 pm
Given two points $(x_1,y_1)$ and $(x_2,y_2)$ the distance between these points is

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

Find the distance between the points (−2, −3) and (−4, 4).

$d=\sqrt{(-4-(-2))^2+(4-(-3))^2}$

$=\sqrt{(-2)^2+(7)^2}$

$=\sqrt{4+49}=\sqrt{53}\approx7.28$