How do you find the distance between (9,7), (1,1)?

1 Answer
Feb 27, 2017

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)(1) - color(blue)(9))^2 + (color(red)(1) - color(blue)(7))^2)#

#d = sqrt((-8)^2 + (-6)^2)#

#d = sqrt(64 + 36)#

#d = sqrt(100) = 10#

The distance between the two points is #sqrt(100)# or #10#