How do you find the distance between (8,-5), (-1,-3)?

Question

5586 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-30T13:06:24

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:

$d = sqrt((color(red)(-1) - color(blue)(8))^2 + (color(red)(-3) - color(blue)(-5))^2)$

$d = sqrt((color(red)(-1) - color(blue)(8))^2 + (color(red)(-3) + color(blue)(5))^2)$

$d = sqrt((-9)^2 + (2)^2)$

$d = sqrt(81 + 4)$

$d = sqrt(85)$

Or

$d = 9.220$ rounded to the nearest thousandth