Question

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

Answer 1

Answer:

Step-by-step 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

 

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

 

Where

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

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

 

Replacing these values in the distance formula

$D =\sqrt{(-8-(-2))^2+(-1-(-5))^2}$

$D =\sqrt{(-8+2)^2+(-1+5)^2}$

$D =\sqrt{(-6)^2+(4)^2}$

$D =\sqrt{36+16}$

$D =\sqrt{52}$

$D= 7.2111$

 

Hence the Distance is 10.44 units