What is the distance between $(–3, –2)$ and $(-6, -7)$ ?

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Answer 1 · 2016-02-18T17:56:29

distance $= sqrt(34)$

The points are :
$(-3,-2) = color(blue)(x_1,y_1$
$(-6,-7) = color(blue)(x_2,y_2$

Distance $= sqrt((x_2-x_1)^2 +(y_2-y_1)^2$

$= sqrt((-6 - (-3))^2 +(-7 - (-2))^2$

$= sqrt((-6 +3)^2 +(-7 +2)^2$

$= sqrt((-3)^2 +(-5)^2$

$= sqrt(9 +25)$

$= sqrt(34)$

What is the distance between (–3, –2)(–3, –2) and (-6, -7)(-6, -7)?