How do you find the distance between the points (-3,8), (5,4)?

1 Answer
Feb 19, 2017

Answer:

The distance between the points is #sqrt(65)# or #8.062# 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)(-3))^2 + (color(red)(4) - color(blue)(8))^2)#

#d = sqrt((color(red)(4) + color(blue)(3))^2 + (color(red)(4) - color(blue)(8))^2)#

#d = sqrt(7^2 + (-4)^2)#

#d = sqrt(49 + 16)#

#d = sqrt(65) = 8.062# rounded to the nearest thousandth.