How do you find the distance between (6,2), (0,-6)?

1 Answer
Mar 8, 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)(0) - color(blue)(6))^2 + (color(red)(-6) - color(blue)(2))^2)#

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

#d = sqrt(36 + 64)#

#d = sqrt(100) = 10#

The distance between the two points in #10#