Question

Use the distance formula to find the distance between the points (−1,−13) and (3,−9).

Answer 1

5.656 units

Explanation:

Data provided:

coordinates of the point 1 as (−1,−13)

and,

coordinates of the point 2 as (3,−9)

Now,

The distance between the two points whose coordinates is given is calculated using the formula

distance =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

on substituting the respective values, we get

distance =
`√((3-(-1))^2+(-9-(-13))^2)`

or

distance =
`√((4)^2+(4)^2)`

or

distance =
`√(16+16)`

or

distance = √32

or

distance = 5.656 units