How do you find the distance of (2, -3) and (5, -4)?

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Answer 1 · 2017-08-22T19:19:40

See a 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:

$d = sqrt((color(red)(5) - color(blue)(2))^2 + (color(red)(-4) - color(blue)(-3))^2)$

$d = sqrt((color(red)(5) - color(blue)(2))^2 + (color(red)(-4) + color(blue)(3))^2)$

$d = sqrt(3^2 + (-1)^2)$

$d = sqrt(9 + 1)$

$d = sqrt(10)$

Or

$d = 3.162$ rounded to the nearest thousandth.