How do you find the distance between (-7,5) and (1,-1)?

1 Answer
May 13, 2017

Answer:

See a 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)(-7))^2 + (color(red)(-1) - color(blue)(5))^2)#

#d = sqrt((color(red)(1) + color(blue)(7))^2 + (color(red)(-1) - color(blue)(5))^2)#

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

#d = sqrt(64 + 36)#

#d = sqrt(100)#

#d = 10#