What is the distance between #(–3, 2) and # (3,7) #?

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Answer 1 · 2018-03-30T12:34:08

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)(3) - color(blue)(-3))^2 + (color(red)(7) - color(blue)(2))^2)#

#d = sqrt((color(red)(3) + color(blue)(3))^2 + (color(red)(7) - color(blue)(2))^2)#

#d = sqrt(6^2 + 5^2)#

#d = sqrt(36 + 25)#

#d = sqrt(61)#

Or

#d ~= 7.81#