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

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Answer 1 · 2017-02-05T19:31:34

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 problem gives:

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

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

#d = sqrt(0^2 + 7^2)#

#d = sqrt(0 + 49)#

#d = sqrt(49) = 7#