How do you find the distance between (-3,-1), (-4,0)?

Question

2086 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-26T16:06:01

#d = sqrt(2)# or #d = 1.414# rounded to the nearest thousandth.

The formula for calculating the distance between two points is:

#d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)#

Substituting the points we are given in this problem gives:

#d = sqrt((-4 - (-3))^2 + (0 - (-1))^2)#

#d = sqrt((-4 + 3)^2 + (0 + 1)^2)#

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

#d = sqrt(1 + 1)#

#d = sqrt(2)#

#d = 1.414#