How do you find the distance between (-2,-1) and (-5,-5)?

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Answer 1 · 2017-03-07T14:42:47

See the entire solution process below:

The formula for calculating the distance between two points is:

$d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)$

Substituting the values from the points in the problem gives:

$d = sqrt((color(red)(-5) - color(blue)(-2))^2 + (color(red)(-5) - color(blue)(-1))^2)$

$d = sqrt((color(red)(-5) + color(blue)(2))^2 + (color(red)(-5) + color(blue)(1))^2)$

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

$d = sqrt(9 + 16)$

$d = sqrt(25)$

$d = 5$

The distance between the two points is $5$