What is the distance between $(–3, –2)$ and $(4, 7)$ ?

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Answer 1 · 2015-12-23T16:55:00

The distance $=color(blue)( sqrt(130)$

The points are

$(-3,-2) = color(blue)(x_1,y_1$
$(4,7) = color(blue)(x_2,y_2$

The distance between the points can be calculated formula:

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

$= sqrt((4 - (-3))^2 +(7+2)^2)$

$= sqrt((4 +3)^2 +(7+2)^2)$

$= sqrt((7)^2 +(9)^2)$

$= sqrt((49 +81)$

$=color(blue)( sqrt(130)$

What is the distance between (–3, –2)(–3, –2) and (4, 7)(4, 7)?