How do you find the distance between points (8,6), (-13,-2)?

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Answer 1 · 2017-02-21T22:27:06

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)(-13) - color(blue)(8))^2 + (color(red)(-2) - color(blue)(6))^2)#

#d = sqrt((-21)^2 + (-8)^2)#

#d = sqrt(441 + 64)#

#d = sqrt(505) = 22.472# rounded to the nearest thousandth.