How do you find the distance between (-2,-1) and (-5,-5)?

1 Answer
Mar 7, 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)(-5) - color(blue)(-2))^2 + (color(red)(-5) - color(blue)(-1))^2)#

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

#d = sqrt((-3)^2 + (-4)^2)#

#d = sqrt(9 + 16)#

#d = sqrt(25)#

#d = 5#

The distance between the two points is #5#