How do you find the distance between (-1,-4), (-6,0)?

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Answer 1 · 2017-04-25T21:12:49

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)(-6) - color(blue)(-1))^2 + (color(red)(0) - color(blue)(-4))^2)#

#d = sqrt((color(red)(-6) + color(blue)(1))^2 + (color(red)(0) + color(blue)(4))^2)#

#d = sqrt((-5)^2 + 4^2)#

#d = sqrt(25 + 16)#

#d = sqrt(41) = 6.403# rounded to the nearest thousandth.