Answer :

Answer:

d ≈ 5.83 units

Step-by-step explanation:

Calculate the distance (d) using the distance formula

• d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

let (x₁, y₁ ) = (- 2, - 4 ) and (x₂, y₂ ) (- 7, - 1 )

substitute these values into the formula for d

d = [tex]\sqrt{(-7-(-2))^2+(-1-(-4))^2}[/tex]

   = [tex]\sqrt{(-7+2)^2+(-1+4)^2}[/tex]

   = [tex]\sqrt{(-5)^2+3^2}[/tex]

   = [tex]\sqrt{25+9}[/tex]

   = [tex]\sqrt{34}[/tex]

   ≈ 5.83 units ( to 2 decimal places )