How do you find the distance between (-7,5) and (1,-1)?

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Answer 1 · 2017-05-13T14:19:03

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:

$d = sqrt((color(red)(1) - color(blue)(-7))^2 + (color(red)(-1) - color(blue)(5))^2)$

$d = sqrt((color(red)(1) + color(blue)(7))^2 + (color(red)(-1) - color(blue)(5))^2)$

$d = sqrt(8^2 + (-6)^2)$

$d = sqrt(64 + 36)$

$d = sqrt(100)$

$d = 10$