Question

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

Answer 1

Answer:

5.656 units

Step-by-step 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 = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

on substituting the respective values, we get

distance = $\sqrt{(3-(-1))^2+(-9-(-13))^2}$

or

distance = $\sqrt{(4)^2+(4)^2}$

or

distance = $\sqrt{16+16}$

or

distance = √32

or

distance = 5.656 units