What is the distance between the points (6,8) and (3,4)?

1 Answer
Feb 12, 2017

Answer:

The distance between the points is #sqrt(29)# or #5.385# rounded to the nearest thousandth.

Explanation:

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)(4) - color(blue)(6))^2 + (color(red)(3) - color(blue)(8))^2)#

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

#d = sqrt(4 + 25)#

#d = sqrt(29) = 5.385# rounded to the nearest thousandth.