How do you find the distance between the points (-3,-5), (-6,-4)?

Question

6976 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-14T14:01:50

See a solution process below:

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)(-6) - color(blue)(-3))^2 + (color(red)(-4) - color(blue)(-5))^2)#

#d = sqrt((color(red)(-6) + color(blue)(3))^2 + (color(red)(-4) + color(blue)(5))^2)#

#d = sqrt((-3)^2 + 1^2)#

#d = sqrt(9 + 1)#

#d = sqrt(10)#

Or

#d = 3.162# rounded to the nearest thousandth