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

1 Answer
Feb 21, 2017

Answer:

See the entire solution process below:

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)(-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.