What is the distance between $(–5, –9)$ and $(–7, 8)$ ?

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Answer 1 · 2016-01-13T16:19:30

distance $=sqrt(293$

The points are
$(-5,-9) = color(blue)(x_1,y_1$

$(-7,8) = color(blue)(x_2,y_2$

The distance is found using formula

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

$=sqrt((-7 - (-5))^2 + (8-(-9))^2$

$=sqrt((-7 + 5)^2 + (8 +9)^2$

$=sqrt((-2 )^2 + (17)^2$

$=sqrt(4 + 289$

$=sqrt(293$

What is the distance between (–5, –9) (–5, –9) and (–7, 8) (–7, 8) ?