Question

Which of the following is equivalent to the distance between the points (-1,-8) and (-5, -2)?

Answer 1

Explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

`D=√((y_2-y_1)^2+(x_2-x_1)^2)`

Where

`(x_1,y_1) = (-1,-8)`

`(x_2,y_2) = (-5,-2)`

Replacing these values in the distance formula

`D =√((-8-(-2))^2+(-1-(-5))^2)`

`D =√((-8+2)^2+(-1+5)^2)`

`D =√((-6)^2+(4)^2)`

`D =√(36+16)`

`D =√(52)`

`D= 7.2111`

Hence the Distance is 10.44 units