How do you find the distance between (-4,5) and (8,-4)?

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Answer 1 · 2017-05-27T20:18:31

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)(8) - color(blue)(-4))^2 + (color(red)(-4) - color(blue)(5))^2)#

#d = sqrt((color(red)(8) + color(blue)(4))^2 + (color(red)(-4) - color(blue)(5))^2)#

#d = sqrt(12^2 + (-9)^2)#

#d = sqrt(144 + 81)#

#d = sqrt(225)#

#d = 15#