How do you find the distance between (-5,4), (3,1)?

Question

2785 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-16T02:16:20

See the entire 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)(3) - color(blue)(-5))^2 + (color(red)(1) - color(blue)(4))^2)#

#d = sqrt((color(red)(3) + color(blue)(5))^2 + (color(red)(1) - color(blue)(4))^2)#

#d = sqrt(8^2 + (-3)^2)#

#d = sqrt(64 + 9)#

#d = sqrt(73) = 8.544# rounded to the nearest thousandth.