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

1 Answer
Dec 26, 2016

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

Explanation:

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